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Existence,Uniqueness and Stability of Bounded Solutions for Minkowski-Curvature Problems with Asymptotic Boundary Conditions 认领 引用
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作者 Tianlan CHEN Xuying TANG 《Journal of Mathematical Research with Applications》 CSCD 2026年第1期57-70,共14页
In this article,we show the existence,uniqueness and stability of bounded solutions to the following quasilinear problems with mean curvature operator(φ'(x′(t)))′=f(t,x),t≥t0,limt→∞x(t)=ψ0,lim_(t→... In this article,we show the existence,uniqueness and stability of bounded solutions to the following quasilinear problems with mean curvature operator(φ'(x′(t)))′=f(t,x),t≥t0,limt→∞x(t)=ψ0,limt→∞x′(t)et=0,where t0 and ψ0 are real constants,φ(s)=s/√1−s2,s∈R with s∈(−1,1),f:[t0,∞)×R→R satisfies the Lipschitz or Osgood-type conditions. 展开更多
关键词 mean curvature operator uniqueness asymptotic boundary conditions bounded solution
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Refined Hyper-Contractivity and Uniqueness for a Two-Species Chemotaxis Model with Two Chemicals in R2 认领 引用
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作者 Li Shuhuan Wang Jinhuan 《Journal of Mathematical Research with Applications》 CSCD 2026年第4期499-508,共10页
In this article,we investigate the uniqueness of solutions for the two-species chemotaxis model with two chemicals in two-dimensional space by hyper-contractivity estimates and semigroup theory.Mainly,we prove that as... In this article,we investigate the uniqueness of solutions for the two-species chemotaxis model with two chemicals in two-dimensional space by hyper-contractivity estimates and semigroup theory.Mainly,we prove that as long as the solution exists,it must be unique.Specifically,we first derive Lp hyper-contractivity estimates of solutions,then establish refined hyper-contractivity estimates,and finally complete the proof of solution uniqueness by combining semigroup theory. 展开更多
关键词 Bessel potential refined hyper-contractivity semigroup theory uniqueness
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Uniqueness of Positive Solutions to Semilinear Equations with Critical Exponential Nonlinearity of Henon Type 认领 引用
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作者 CEN Jianglin ZHU Maochun 《应用数学》 北大核心 2026年第1期80-89,共10页
In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|αueu^(2),in B1,u=0,onδB1ueu2;in B1;u=0;on@B1;whereλ>0,α>-2;B1denotes the unit ... In this paper,we study the uniqueness of positive solutions to the following semilinear equations{-Δu=λ|x|αueu^(2),in B1,u=0,onδB1ueu2;in B1;u=0;on@B1;whereλ>0,α>-2;B1denotes the unit disk in R2:By delicate and relatively complicated computation of radial solutions to the above equation and the asymptotic expansion of solutions near the boundary of B1,the uniqueness of positive solutions is obtained.The results of this paper extend the uniqueness result for the semilinear equation with critical exponential growth in CHEN et al.(2022)to the case that includes a Henon term. 展开更多
关键词 Uniqueness Trudinger-Moser inequality Critical exponential Henon type
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The uniqueness of meromorphic functions and their derivatives in the unit disc that share values in an angular domain 认领 引用
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作者 TAN Yang 《纯粹数学与应用数学》 2026年第1期59-77,共19页
In this paper,we investigate the uniqueness of meromorphic functions and their derivatives in the unit disc and consider the relations between the Borel points and the shared-values of meromorphic functions in an angu... In this paper,we investigate the uniqueness of meromorphic functions and their derivatives in the unit disc and consider the relations between the Borel points and the shared-values of meromorphic functions in an angular domain by Nevanlinna value distribution theory.An admissible meromorphic function with orde or precise order has Borel point and shares IM common values with its derivative in an angular domain of the unit disc,then the meromorphic function and its derivative are unique.The obtained results improve and generalize some existing results and enrich the uniqueness theory of meromorphic functions. 展开更多
关键词 meromorphic function admissible uniqueness angular domain
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CONCENTRATION AND UNIQUENESS OF MINIMIZERS FOR FRACTIONAL SCHRÖDINGER ENERGY FUNCTIONALS 认领 引用
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作者 Lintao LIU Shuai YAO +1 位作者 Kaimin TENG Haibo CHEN 《Acta Mathematica Scientia》 SCIE CSCD 2025年第5期1981-2009,共29页
We consider a constrained minimization problem arising in the fractional Schrödinger equation with a trapping potential.By exploring some delicate energy estimates and studying decay properties of solution sequen... We consider a constrained minimization problem arising in the fractional Schrödinger equation with a trapping potential.By exploring some delicate energy estimates and studying decay properties of solution sequences,we obtain the concentration behavior of each minimizer of the fractional Schrödinger energy functional when a↗a*:=‖Q‖22s,where Q is the unique positive radial solution of (-△)su+su-|u|2su=0 in R2.Based on the discussion of the concentration phenomenon,we prove the local uniqueness of minimizers by establishing a local Poho zaev identity and studying the blow-up estimates to the nonlocal operator(-△)s. 展开更多
关键词 concentration energy estimates asymptotic uniqueness Pohozaev identity
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Uniqueness Results for Meromorphic Functions Involving Differential-Difference Polynomials and Shared Values 认领 引用
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作者 Hongyan XU Rana MONDAL Imrul KAISH 《Journal of Mathematical Research with Applications》 CSCD 2025年第3期304-328,共25页
Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three d... Throughout this work,we explore the uniqueness properties of meromorphic functions concerning their interactions with complex differential-difference polynomial.Under the condition of finite order,we establish three distinct uniqueness results for a meromorphic function f associated with the differential-difference polynomial Lηnf=Σk=0nakf (z+kη)+a-1f′.These results lead to a refined characterization of f (z)≡Lηnf (z).Several illustrative examples are provided to demonstrate the sharpness and precision of the results obtained in this study. 展开更多
关键词 meromorphic function differential-difference polynomials Nevanlinna theory uniqueness value sharing
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Uniqueness in Inverse Electromagnetic Scattering by Locally Rough Surfaces with Phaseless Near-Field Data 认领 引用
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作者 Jiahui Gao Junliang Lv Tian Niu 《Communications in Mathematical Research》 CSCD 2025年第2期189-208,共20页
In this paper,we consider the reconstruction of a locally rough sur-face from phaseless near-field data generated by the incident electric dipoles.To obtain the uniqueness for this inverse problem,we use the superposi... In this paper,we consider the reconstruction of a locally rough sur-face from phaseless near-field data generated by the incident electric dipoles.To obtain the uniqueness for this inverse problem,we use the superposition of point sources as the incident waves.These point sources lie on an admissi-ble surface.The measured data are collected from another admissible surface above this locally rough surface.We derive the Rellich's lemma and the reci-procity relation for the electric total fields.Based on them,we establish the uniqueness in phaseless inverse electromagnetic scattering by locally rough surfaces. 展开更多
关键词 Uniqueness inverse electromagnetic scattering phaseless near field locally rough surface reciprocity relation
Mathematical Analysis on the Uniqueness of Reverse Algorithm for Measuring Elastic-plastic Properties by Sharp Indentation 认领 引用 被引量:7
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作者 Yongli Huang Xiaofang Liu +2 位作者 Yichun Zhou Zengsheng Ma Chunsheng Lu 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2011年第7期577-584,共8页
The reverse analysis provides a convenient method to determine four elastic-plastic parameters through an indentation curve such as Young s modulus E, hardness H, yield strength σy and strain hardening exponent n. In... The reverse analysis provides a convenient method to determine four elastic-plastic parameters through an indentation curve such as Young s modulus E, hardness H, yield strength σy and strain hardening exponent n. In this paper, mathematical analysis on a reverse algorithm from Dao model (Dao et al., Acta Mater., 2001, 49, 3899) was carried out, which thought that only when 20 ≤E*/σ0.033≤ 26 and 0.3n≤ 0.5, the reverse algorithm would yield two solutions of n by dimensionless function Π2. It is shown that, however, there are also two solutions of n when 20≤E*/σ0.033≤ 26 and 0≤n0.1. A unique n can be obtained by dimensionless function Π3 instead of Π2 in these two ranges. E and H can be uniquely determined by a full indentation curve, and σy can be determined if n is unique. Furthermore, sensitivity analysis on obtaining n from dimensionless function Π3 or Π2 has been made. 展开更多
关键词 Elastic-plastic properties Sharp indentation Reverse algorithm Uniqueness Sensitivity
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THE EXISTENCE AND LOCAL UNIQUENESS OF MULTI-PEAK POSITIVE SOLUTIONS TO A CLASS OF KIRCHHOFF EQUATION 认领 引用 被引量:7
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作者 Gongbao LJ Yahui NIU 《Acta Mathematica Scientia》 SCIE CSCD 2020年第1期90-112,共23页
In the present paper,we consider the nonlocal Kirchhoff problem-(ε^2a+εb∫|■u|^2)Δu+u=Q(x)u^p,u>0 in R^3,,where a,b>0,10 is a parameter.Under some assumptions on Q(x),we show the existence and local uniquene... In the present paper,we consider the nonlocal Kirchhoff problem-(ε^2a+εb∫|■u|^2)Δu+u=Q(x)u^p,u>0 in R^3,,where a,b>0,10 is a parameter.Under some assumptions on Q(x),we show the existence and local uniqueness of positive multi-peak solutions by LyapunovSchmidt reduction method and the local Pohozaev identity method,respectly. 展开更多
关键词 Kirchhoff equations multi-peak positive solutions local uniqueness local Pohozaev identity Lyapunov-Schmidt reduction
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Uniqueness, scale, and resolution issues in groundwater model parameter identification 认领 引用 被引量:2
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作者 Tian-chyi J.Yeh De-qiang Mao +4 位作者 Yuan-yuan Zha Jet-chau Wen Li Wan Kuo-chin Hsu Cheng-haw Lee 《Water Science and Engineering》 EI CAS CSCD 2015年第3期175-194,共20页
This paper first visits uniqueness, scale, and resolution issues in groundwater flow forward modeling problems. It then makes the point that non-unique solutions to groundwater flow inverse problems arise from a lack ... This paper first visits uniqueness, scale, and resolution issues in groundwater flow forward modeling problems. It then makes the point that non-unique solutions to groundwater flow inverse problems arise from a lack of information necessary to make the problems well defined. Subsequently, it presents the necessary conditions for a well-defined inverse problem. They are full specifications of (1) flux boundaries and sources/sinks, and (2) heads everywhere in the domain at at least three times (one of which is t = 0), with head change everywhere at those times being nonzero for transient flow. Numerical experiments are presented to corroborate the fact that, once the necessary conditions are met, the inverse problem has a unique solution. We also demonstrate that measurement noise, instability, and sensitivity are issues related to solution techniques rather than the inverse problems themselves. In addition, we show that a mathematically well-defined inverse problem, based on an equivalent homogeneous or a layered conceptual model, may yield physically incorrect and scenario-dependent parameter values. These issues are attributed to inconsistency between the scale of the head observed and that implied by these models. Such issues can be reduced only if a sufficiently large number of observation wells are used in the equivalent homogeneous domain or each layer. With a large number of wells, we then show that increase in parameterization can lead to a higher-resolution depiction of heterogeneity if an appropriate inverse methodology is used. Furthermore, we illustrate that, using the same number of wells, a highly parameterized model in conjunction with hydraulic tomography can yield better characterization of the aquifer and minimize the scale and scenario-dependent problems. Lastly, benefits of the highly parameterized model and hydraulic tomography are tested according to their ability to improve predictions of aquifer responses induced by independent stresses not used in the inverse modeling efforts. 展开更多
关键词 Uniqueness Scale Resolution Forward and inverse problems Hydraulic tomography
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Calibration and uniqueness analysis of microparameters for DEM cohesive granular material 认领 引用 被引量:8
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作者 Songtao Ji Jurij Karlovšek 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2022年第1期121-136,共16页
The differential evolution(DE)algorithm was deployed to calibrate microparameters of the DEM cohesive granular material.4 macroparameters,namely,uniaxial compressive strength,direct tensile strength,Young’s modulus a... The differential evolution(DE)algorithm was deployed to calibrate microparameters of the DEM cohesive granular material.4 macroparameters,namely,uniaxial compressive strength,direct tensile strength,Young’s modulus and Poisson’s ratio,can be calibrated to high accuracy.The best calibration accuracy could reach the sum of relative errors REsum<0.1%.Most calibrations can be achieved with REsum<5%within hours or REsum<1%within 2 days.Based on the calibrated results,microparameters uniqueness analysis was carried out to reveal the correlation between microparameters and the macroscopic mechanical behaviour of material:(1)microparameters effective modulus,tensile strength and normal-to-shear stiffness ratio control the elastic behaviour and stable crack growth,(2)microparameters cohesion and friction angles present a negative linear correlation that controls the axial strain and lateral strain prior to the peak stress,and(3)microparameters friction coefficient controls shear crack friction and slip mainly refers to the unstable crack behaviour.Consideration of more macroparameters to regulate the material mechanical behaviour that is dominated by shear crack and slip motion is highlighted for future study.The DE calibration method is expected to serve as an alternative method to calibrate the DEM cohesive granular material to its peak strength. 展开更多
关键词 Discrete element method(DEM) Particle flow code(PFC) Differential evolution(DE) Parameter calibration Uniqueness analysis Post-peak behaviour
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Uniqueness,reciprocity theorem,and plane waves in thermoelastic diffusion with a fractional order derivative 认领 引用 被引量:8
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作者 Rajneesh Kumar Vandana Gupta 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第7期286-297,共12页
In this work, a theory of thermoelasticity with diffusion is taken into consideration by using the methodology of fractional calculus. The governing equations for particle motion in a homogeneous anisotropic fractiona... In this work, a theory of thermoelasticity with diffusion is taken into consideration by using the methodology of fractional calculus. The governing equations for particle motion in a homogeneous anisotropic fractional order generalized thermoelastic diffusive medium are presented. Uniqueness and reciprocity theorems are proved. The plane wave propagation in the homogeneous transversely isotropic thermoelastic diffusive medium with fractional order derivative is studied. For the two-dimensional problem, there exist a quasi-longitudinal wave, a quasi-transverse wave, a quasi-mass diffusion wave, and a quasi-thermal wave. From the obtained results, the different characteristics of waves, like phase velocity, attenuation coefficient, specific loss, and penetration depth, are computed numerically and presented graphically. Some special cases are also discussed. 展开更多
关键词 thermoelastic diffusion fractional calculus uniqueness theorem reciprocity theorem
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UNIQUENESS OF ENTIRE FUNCTIONS SHARING ONE VALUE 认领 引用 被引量:8
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作者 林秀清 林伟川 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1062-1076,共15页
We deal with the problem of entire functions sharing one value weakly. Moreover, we improve and generalize some former results obtained by J.-F.Chen, et al. [6], Y.Xu and H.L.Qiu [4], M.L. Fang [5], C.C. Yang, and X.H... We deal with the problem of entire functions sharing one value weakly. Moreover, we improve and generalize some former results obtained by J.-F.Chen, et al. [6], Y.Xu and H.L.Qiu [4], M.L. Fang [5], C.C. Yang, and X.H. Hua [3]. 展开更多
关键词 uniqueness entire function shared value meromorphic function
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UNIQUENESS PROBLEM WITH TRUNCATED MULTIPLICITIES OF MEROMORPHIC MAPPINGS FOR MOVING TARGETS 认领 引用 被引量:4
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作者 陈志华 李燕华 颜启明 《Acta Mathematica Scientia》 SCIE 2007年第3期625-634,共10页
In this article, two uniqueness theorems of meromorphic mappings on moving targets with truncated multiplicities are proved.
关键词 Moving targets uniqueness theorem value distribution
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ON UNIQUENESS OF MEROMORPHIC FUNCTIONS WITH SHARED-SETS IN AN ANGULAR DOMAIN 认领 引用 被引量:5
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作者 陈省江 林伟川 《Acta Mathematica Scientia》 SCIE CSCD 2011年第1期194-206,共13页
In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic fu... In this article, we deal with the uniqueness problems on meromorphic functions sharing two finite sets in an angular domain instead of the whole plane C. In particular, we investigate the uniqueness for meromorphic functions of infinite order in an angular domain and obtain some results. Moreover, examples show that the conditions in theorems are necessary. 展开更多
关键词 Shared-set uniqueness meromorphic function angular domain infinite order
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Some results on zeros and uniqueness of difference-differential polynomials 认领 引用 被引量:5
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作者 LIU Kai LIU Xin-ling CAO Ting-bin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第1期94-104,共11页
We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential p... We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential polynomials of entire functions sharing a common value. 展开更多
关键词 zero sharing value uniqueness difference-differential polynomial.
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A NOTE ON THE UNIQUENESS AND THE NON-DEGENERACY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC PROBLEMS AND ITS APPLICATION 认领 引用 被引量:2
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作者 Shinji ADACHI Masataka SHIBATA Tatsuya WATANABE 《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1121-1142,共22页
In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE anal- ysis, we extend previous results to cases ... In this paper, we are concerned with the uniqueness and the non-degeneracy of positive radial solutions for a class of semilinear elliptic equations. Using detailed ODE anal- ysis, we extend previous results to cases where nonlinear terms may have sublinear growth. As an application, we obtain the uniqueness and the non-degeneracy of ground states for modified SchrSdinger equations. 展开更多
关键词 positive radial solution uniqueness non-degeneracy shooting method
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UNIQUENESS PROBLEM FOR MEROMORPHIC MAPPINGS IN SEVERAL COMPLEX VARIABLES INTO P^N(C) WITH TRUNCATED MULTIPLICITIES 认领 引用 被引量:4
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作者 涂振汉 王中华 《Acta Mathematica Scientia》 SCIE CSCD 2013年第1期122-130,共9页
This paper proves some uniqueness theorems for meromorphic mappings in several complex variables into the complex projective space p^N(C) with truncated multiplicities, and our results improve some earlier work.
关键词 meromorphic mappings truncated multiplicities uniqueness theorems value distribution theory
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EXISTENCE AND UNIQUENESS RESULTS FOR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES 认领 引用 被引量:3
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作者 Dimplekumar N.CHALISHAJAR K.KARTHIKEYAN 《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期758-772,共15页
We study boundary value problems for fractional integro-differential equations involving Caputo derivative of orderα∈(n-1,n)in Banach spaces.Existence and uniqueness results of solutions are established by virtue of... We study boundary value problems for fractional integro-differential equations involving Caputo derivative of orderα∈(n-1,n)in Banach spaces.Existence and uniqueness results of solutions are established by virtue of the Holder's inequality,a suitable singular Cronwall's inequality and fixed point theorem via a priori estimate method.At last,examples are given to illustrate the results. 展开更多
关键词 Boundary value problems fractional order integro-differential equations bound-ary value problems existence and uniqueness singular gronwall inequality fixed point theorem
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Individual differences determine the morphogenesis pattern and reproductive uniqueness of the invasive green macroalga,implications for its habitat adaptation 认领 引用 被引量:1
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作者 Bingxin HUANG Liming RAO +6 位作者 Yunyan DENG Boxi LI Zhiying WANG Jie CHEN Lichun WANG Yang DAI Lanping DING 《Journal of Oceanology and Limnology》 SCIE CAS CSCD 2024年第6期2013-2023,共11页
The marine green algae genus Chaetomorpha is a common source of“green tide”and is widespread on coasts around the world.In this study,based on invasive Chaetomorpha valida collected from the Shandong Peninsula,the m... The marine green algae genus Chaetomorpha is a common source of“green tide”and is widespread on coasts around the world.In this study,based on invasive Chaetomorpha valida collected from the Shandong Peninsula,the morphogenesis and reproductive characteristics of two strains that are morphologically different from each other,were observed using experimental biology methods.The main results are as follows:(1)significant difference in the size of reproductive cells produced by Strains 1 and 2;(2)gametes produced by Strain 2 are isogamous and same gametangial during the binding process of gametes,whereas those of Strain 1 are isogamous but hetero-cystic;(3)progeny from Strain 1 has rhizoidal holdfast,whereas that of Strain 2 has discoid holdfast;(4)gametophytic“branching”was found in Strain 1.These results could validate the high phenotypic plasticity of macroalgae and offered an interpretation of habitat adaptation.Furthermore,this study innovatively provided fundamental research on the selection of macroalgal traits and explored competitive strategies for the dominant survival of macroalgae from a new perspective. 展开更多
关键词 Chaetomorpha valida individual difference morphogenesis pattern reproductive uniqueness
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