期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到93,068篇文章
< 1 2 … 250 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
Sign-changing Solutions for a Fractional Schrödinger-Poisson System with Concave-convex Nonlinearities and a Steep Potential Well 认领 引用 被引量：1
1
作者 FU Jiao LI Hongying LIAO Jiafeng 《数学理论与应用》 2025年第1期25-44,共20页
In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)su+Vλ(x)u+ϕu=f(x)|u|q-2u+|u|p-2u,in R3,(-Δ)t... In this paper,we investigate the following fractional Schrödinger-Poisson system with concave-convex nonlinearities and a steep potential well{(-Δ)su+Vλ(x)u+ϕu=f(x)|u|q-2u+|u|p-2u,in R3,(-Δ)tϕ=u2,in R3,where s∈(3/4,1),t∈(0,1),q∈(1,2),p∈(4,2s*),2s*:=6/3-2s is the fractional critical exponent in dimension 3,Vλ(x)=λV(x)+1 withλ>0.Under the case of steep potential well,we obtain the existence of the sign-changing solutions for the above system by using the constraint variational method and the quantitative deformation lemma.Furthermore,we prove that the energy of ground state sign-changing solution is strictly more than twice of the energy of the ground state solution.Our results improve the recent results in the literature. 展开更多
关键词 Fractional Schrödinger-Poisson system Concave-convex nonlinearity Sign-changing solution Steep potential well
暂未订购 下载PDF
SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR SCHRODINGER-POISSON SYSTEM WITH CRITICAL GROWTH 认领 引用 被引量：3
2
作者 邓引斌 帅伟 杨小龙 《Acta Mathematica Scientia》 SCIE CSCD 2023年第5期2291-2308,共18页
In this paper,we study the following Schrodinger-Poisson system with critical growth:■We establish the existence of a positive ground state solution and a least energy sign-changing solution,providing that the nonlin... In this paper,we study the following Schrodinger-Poisson system with critical growth:■We establish the existence of a positive ground state solution and a least energy sign-changing solution,providing that the nonlinearity f is super-cubic,subcritical and that the potential V(x)has a potential well. 展开更多
关键词 Schrodinger-Poisson system ground state solution sign-changing solution critical growth
暂未订购 下载PDF
SIGN-CHANGING SOLUTIONS FOR SCHRDINGER EQUATIONS WITH VANISHING AND SIGN-CHANGING POTENTIALS 认领 引用 被引量：2
3
作者 吴元泽 黄毅生 刘增 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期691-702,共12页
In this article, we study the existence of sign-changing solutions for the following SchrSdinger equation -△u ＋ λV（x）u = K（x）｜u｜^p-2u x∈R^N, u→0 as ｜x｜→ ＋∞, 2N where N ≥ 3, λ〉 0 is a parameter, 2 〈... In this article, we study the existence of sign-changing solutions for the following SchrSdinger equation -△u ＋ λV（x）u = K（x）｜u｜^p-2u x∈R^N, u→0 as ｜x｜→ ＋∞, 2N where N ≥ 3, λ〉 0 is a parameter, 2 〈 p 〈 2N/N-2, and the potentials V（x） and K（x） satisfy some suitable conditions. By using the method based on invariant sets of the descending flow, we obtain the existence of a positive ground state solution and a ground state sign-changing solution of the above equation for small λ, which is a complement of the results obtained by Wang and Zhou in [J. Math. Phys. 52, 113704, 2011]. 展开更多
关键词 Variational methods bounded state solutions sign-changing solutions
暂未订购 下载PDF
INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR THE BRZIS-NIRENBERG PROBLEM INVOLVING HARDY POTENTIAL 认领 引用 被引量：3
4
作者 张靖 马世旺 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期527-536,共10页
In this article, we give a new proof on the existence of infinitely many sign- changing solutions for the following Brezis-Nirenberg problem with critical exponent and a Hardy potential -△u-μ（u/｜x｜^2）=λu＋｜u... In this article, we give a new proof on the existence of infinitely many sign- changing solutions for the following Brezis-Nirenberg problem with critical exponent and a Hardy potential -△u-μ（u/｜x｜^2）=λu＋｜u｜^2＊-2u inΩ, u=0 on eΩ,where Ω is a smooth open bounded domain of R^N which contains the origin, 2＊=2N-2 is the critical Sobolev exponent. More precisely, under the assumptions that N ≥ 7, μ ∈ [0, μ- 4）, and μ=（N-2）^2/4, we show that the problem admits infinitely many sign-changing solutions for each fixed λ 〉 0. Our proof is based on a combination of invariant sets method and Lj usternik-Schnirelman theory. 展开更多
关键词 Critical exponent sign-changing solutions minimax method hardy potential
暂未订购 下载PDF
THE EXISTENCE AND CONCENTRATION OF GROUND STATE SIGN-CHANGING SOLUTIONS FOR KIRCHHOFF-TYPE EQUATIONS WITH A STEEP POTENTIAL WELL 认领 引用 被引量：3
5
作者 吴梦慧 唐春雷 《Acta Mathematica Scientia》 SCIE CSCD 2023年第4期1781-1799,共19页
In this paper,we consider the nonlinear Kirchhoff type equation with a steep potential well−(a+b∫R3|∇u|^(2 )dx)Δu+λV(x)u=f(u)in R3,where a,b>0 are constants,λ is a positive parameter,V∈C(R3,R)is a ste... In this paper,we consider the nonlinear Kirchhoff type equation with a steep potential well−(a+b∫R3|∇u|^(2 )dx)Δu+λV(x)u=f(u)in R3,where a,b>0 are constants,λ is a positive parameter,V∈C(R3,R)is a steep potential well and the nonlinearity f∈C(R,R)satisfies certain assumptions.By applying a signchanging Nehari manifold combined with the method of constructing a sign-changing(PS)C sequence,we obtain the existence of ground state sign-changing solutions with precisely two nodal domains when λ is large enough,and find that its energy is strictly larger than twice that of the ground state solutions.In addition,we also prove the concentration of ground state sign-changing solutions. 展开更多
关键词 Kirchhoff-type equation ground state sign-changing solutions steep potential well
暂未订购 下载PDF
THE EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS TO BI-HARMONIC EQUATIONS WITH A p-LAPLACIAN 认领 引用 被引量：1
6
作者 Wenqing WANG Anmin MAO 《Acta Mathematica Scientia》 SCIE CSCD 2022年第2期551-560,共10页
We investigate the bi-harmonic problem{Δ2u-α▽·(f(▽u))-βΔpu=g(x,u) in Ω,δu/δn=0,δ(Δu)/δn=0 on δΩ,where Δ2u=Δ(Δu),Δpu=div(|▽u|p-2▽u)with p>2.Ω is a bounded smooth domain in R^... We investigate the bi-harmonic problem{Δ2u-α▽·(f(▽u))-βΔpu=g(x,u) in Ω,δu/δn=0,δ(Δu)/δn=0 on δΩ,where Δ2u=Δ(Δu),Δpu=div(|▽u|p-2▽u)with p>2.Ω is a bounded smooth domain in RN,N≥1.By using a special function space with the constraint ∫Ωudx=0,under suitable assumptions on f and g(x,u),we show the existence and multiplicity of sign-changing solutions to the above problem via the Mountain pass theorem and the Fountain theorem.Recent results from the literature are extended. 展开更多
关键词 Bi-harmonic sign-changing solution Fountain theorem
暂未订购 下载PDF
Multiple Sign-Changing Solutions for Quasilinear Equations of Bounded Quasilinearity 认领 引用
7
作者 Jiaquan Liu Xiangqing Liu Zhi-Qiang Wang 《Analysis in Theory and Applications》 CSCD 2021年第2期209-229,共21页
The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearity ■on aΩ ,where... The existence of an infinite sequence of sign-changing solutions are proved for a class of quasilinear elliptic equations under suitable conditions on the quasilinear coefficients and the nonlinearity ■on aΩ ,where Ω∈ C RN is a bounded domain with smooth boundary,and we use du 2u d D;u=x,Dju=;dxjdxj and D2bj;(z)=;bj(2).The main interest of this paper is for the case of bounded quasilinearity bj.The result is proved by an elliptic regularization method involving truncations of both u and the gradient of u. 展开更多
关键词 Quasilinear elliptic equations sign-changing solution an elliptic regularization method
MULTIPLE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRODINGER EQUATIONS WITH SATURABLE NONLINEARITY 认领 引用
8
作者 Zhongyuan LIU 《Acta Mathematica Scientia》 SCIE CSCD 2021年第2期493-504,共12页
In this paper,we construct sign-changing radial solutions for a class of Schrodinger equations with saturable nonlinearity which arises from several models in mathematical physics.More precisely,for any given nonnegat... In this paper,we construct sign-changing radial solutions for a class of Schrodinger equations with saturable nonlinearity which arises from several models in mathematical physics.More precisely,for any given nonnegative integer k,by using a minimization argument,we first obtain a sign-changing minimizer with k nodes of a constrained minimization problem,and show,by a deformation lemma and Miranda's theorem,that the minimizer is the desired solution. 展开更多
关键词 Sign-changing solutions saturable nonlinearity Nehari manifold variational methods
暂未订购 下载PDF
SIGN-CHANGING SOLUTIONS FOR p-BIHARMONIC EQUATIONS WITH HARDY POTENTIAL IN R^N 认领 引用 被引量：4
9
作者 杨瑞瑞 张薇 刘祥清 《Acta Mathematica Scientia》 SCIE CSCD 2017年第3期593-606,共14页
In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in RN.
关键词 Sign-changing solutions p-biharmonic equations Hardy potential
暂未订购 下载PDF
SIGN-CHANGING SOLUTIONS FOR THE STATIONARY KIRCHHOFF PROBLEMS INVOLVING THE FRACTIONAL LAPLACIAN IN R^N 认领 引用 被引量：5
10
作者 Kun CHENG Qi GAO 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1712-1730,共19页
In this paper, we study the existence of least energy sign-changing solutions for aKirchhoff-type problem involving the fractional Laplacian operator. By using the constraintvariation method and quantitative deformati... In this paper, we study the existence of least energy sign-changing solutions for aKirchhoff-type problem involving the fractional Laplacian operator. By using the constraintvariation method and quantitative deformation lemma, we obtain a least energy nodal solu-tion ub for the given problem. Moreover, we show that the energy of ub is strictly larger thantwice the ground state energy. We also give a convergence property of ub as b O, where bis regarded as a positive parameter. 展开更多
关键词 Kirchhoff equation fractional Laplaciau sign-changing solutions
暂未订购 下载PDF
A COMPACT EMBEDDING RESULT FOR NONLOCAL SOBOLEV SPACES AND MULTIPLICITY OF SIGN-CHANGING SOLUTIONS FOR NONLOCAL SCHRÖDINGER EQUATIONS 认领 引用
11
作者 Xu ZHANG Hao ZHAI Fukun ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2024年第5期1853-1876,共24页
For any s∈(0,1),let the nonlocal Sobolev space Xs(RN)be the linear space of Lebesgue measure functions from RN to R such that any function u in Xs(RN)belongs to L2(RN)and the function(x,y)→(u(x)-u... For any s∈(0,1),let the nonlocal Sobolev space Xs(RN)be the linear space of Lebesgue measure functions from RN to R such that any function u in Xs(RN)belongs to L2(RN)and the function(x,y)→(u(x)-u(y)√K(x-y)is in L2(RN,RN).First,we show,for a coercive function V(x),the subspace E:={u∈X^s(R^N):fR^N}V(x)u2dx<+∞}of Xs(RN)is embedded compactly into Lp(RN)for p\in[2,2s*),where 2s*is the fractional Sobolev critical exponent.In terms of applications,the existence of a least energy sign-changing solution and infinitely many sign-changing solutions of the nonlocal Schrödinger equation-Lku+V(x)u=f(x,u),x∈R^N are obtained,where-LKis an integro-differential operator and V is coercive at infinity. 展开更多
关键词 sign-changing solution integro-differential operator least energy variational method
暂未订购 下载PDF
Existence of Sign-changing Solution for Three-point Boundary Value Problems 认领 引用 被引量：4
12
作者 LI Chun-yan SU Ya-juan 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第3期458-466,共9页
In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(... In this paper, by using the fixed-point index theory, we study the existence of sign-changing solution of some three-point boundary value problems {y ''(t) + f(y) = 0, t ∈ [0, 1], y' (0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, f : R → R is continuous, strictly increasing and f(0) = 0. 展开更多
关键词 three-point boundary value problem sign-changing solution the fixed-point index theory
暂未订购 下载PDF
Existence of Sign-Changing Solution with Least Energy for a Class of Schrödinger-Poisson Equations in R3 认领 引用
13
作者 Yaolan Tang Qiongfen Zhang 《Journal of Applied Mathematics and Physics》 2021年第10期2483-2499,共17页
The nodal solutions of equations are considered to be more difficult than the positive solutions and the ground state solutions. Based on this, this paper intends to study nodal solutions for a kind of Schr&#246;d... The nodal solutions of equations are considered to be more difficult than the positive solutions and the ground state solutions. Based on this, this paper intends to study nodal solutions for a kind of Schr&#246;dinger-Poisson equation. We consider a class of Schr&#246;dinger-Poisson equation with variable potential under weaker conditions in this paper. By introducing some new techniques and using truncated functional, Hardy inequality and Poho&#382;aev identity, we obtain an existence result of a least energy sign-changing solution and a ground state solution for this kind of Schr&#246;dinger-Poisson equation. Moreover, the energy of the sign-changing solution is strictly greater than the ground state energy. 展开更多
关键词 Schrödinger-Poisson System Sign-Changing Solution Ground State Solution Pohožaev Identity
暂未订购 下载PDF
Existence and Concentration of Sign-Changing Solutions of Quasilinear Choquard Equation 认领 引用
14
作者 Die Wang Yuqi Wang Shaoxiong Chen 《Journal of Applied Mathematics and Physics》 2023年第4期1124-1151,共28页
In this paper, we study the following quasilinear equation of choquard type: where A(x,t) is given real functions on RN × R and with N ≥ 3, 1 p N, max{N-2p,1} α N, , and ε > 0 is a small parameter, Iα is t... In this paper, we study the following quasilinear equation of choquard type: where A(x,t) is given real functions on RN × R and with N ≥ 3, 1 p N, max{N-2p,1} α N, , and ε > 0 is a small parameter, Iα is the Riesz potential. We establish for small ε the existence of a sequence of sign-changing solutions concentrating near a given local minimum point of the bounded potential function V by using the method of invariant sets of descending flow, perturbation method and truncation technique. . 展开更多
关键词 Quasilinear Choquard Equation The Method of Invariant Sets of Descending Flow Truncation Sign-Changing Solutions
暂未订购 下载PDF
Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem 认领 引用 被引量：2
15
作者 Yuhua Long Baoling Zeng 《Journal of Applied Mathematics and Physics》 2017年第11期2228-2243,共16页
Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinea... Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Some results in the literature are improved. 展开更多
关键词 Sign-Changing Solution Difference Equation Dirichlet Boundary Value Problem Invariant Sets of Descending Flow
暂未订购 下载PDF
Study on the Existence of Sign-Changing Solutions of Case Theory Based a Class of Differential Equations Boundary-Value Problems 认领 引用 被引量：1
16
作者 Hongwei Ji 《Advances in Pure Mathematics》 2017年第12期686-691,共6页
By using the fixed point theorem under the case structure, we study the existence of sign-changing solutions of A class of second-order differential equations three-point boundary-value problems, and a positive soluti... By using the fixed point theorem under the case structure, we study the existence of sign-changing solutions of A class of second-order differential equations three-point boundary-value problems, and a positive solution and a negative solution are obtained respectively, so as to popularize and improve some results that have been known. 展开更多
关键词 Case Theory Boundary-Value Problems Fixed Point Theorem Sign-Changing Solutions
暂未订购 下载PDF
A Least Energy Sign-Changing Solution for Nonlocal Schrödinger Equations with Asymptotically Linear Nonlinearities 认领 引用
17
作者 Ni Li 《Journal of Applied Mathematics and Physics》 2025年第6期1997-2011,共15页
In this paper,we are concerned with the following nonlocal Schrödinger equations-LKu+V(x)u=f(x,u),x∈RN,Rwhere LKLis an integro-differential operator of fractional Laplacian type and V is coercive at inf... In this paper,we are concerned with the following nonlocal Schrödinger equations-LKu+V(x)u=f(x,u),x∈RN,Rwhere LKLis an integro-differential operator of fractional Laplacian type and V is coercive at infinity.Combining the Nehari manifold and the quantitative deformation lemma,a least energy sign-changing solution was obtained,and the energy doubling phenomenon was also found. 展开更多
关键词 Nonlocal Schrödinger Equations Least Energy Sign-Changing Solution Integro-Differential Operator Asymptotically Linear Energy Doubling
MULTIPLE SOLUTIONS FOR A HAMILTONIAN ELLIPTIC SYSTEM WITH SIGN-CHANGING PERTURBATION 认领 引用
18
作者 Peng CHEN Longjiang GU Yan WU 《Acta Mathematica Scientia》 SCIE CSCD 2025年第2期602-614,共13页
In this paper,we study the elliptic system{-Δu+V(x)u=|v|p-2v-λ2|v|s2-2v,-Δu+V(x)v=|u|p-2u-λ1|u|s1-2u,u,v∈H1(RN)with strongly indefinite structure and sign-changing nonlinearity.We overcome... In this paper,we study the elliptic system{-Δu+V(x)u=|v|p-2v-λ2|v|s2-2v,-Δu+V(x)v=|u|p-2u-λ1|u|s1-2u,u,v∈H1(RN)with strongly indefinite structure and sign-changing nonlinearity.We overcome the absence of the upper semi-continuity assumption which is crucial in traditional variational methods for strongly indefinite problems.By some new tools and techniques we proved the existence of infinitely many geometrically distinct solutions if parametersλ1,λ2>0 small enough.To the best of our knowledge,our result seems to be the first result about infinitely many solutions for Hamiltonian system involving sign-changing nonlinearity. 展开更多
关键词 variational method strongly indefinite elliptic system multiple solutions signchanging nonlinearity
暂未订购 下载PDF
MULTIPLICITY OF NORMALIZED SOLUTIONS FOR NONLINEAR KIRCHHOFF-TYPE PROBLEMS 认领 引用
19
作者 Liping XU Haibo CHEN 《Acta Mathematica Scientia》 SCIE CSCD 2026年第3期1248-1268,共21页
This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN)... This paper addresses the existence of multiple nonradial and radial normalized solutions for the following Kirchhoff-type equations{-(a+b∫Rn|▽u|2dx)△u=f(x)-pu in RN,||u||2L^(2RN)=m,u∈H1(RN),where f∈C(R,R),a,b>0 are constants,μ∈R is not fixed and instead appears as a Lagrange multiplier and m>0 is a given constant.In a mass subcritical case,using a version of the minimax theorem([32,Theorem 2.1])for a class of constrained even functionals,we demonstrate the existence of one nonradial normalized solution when N≥4.Additionally,if N≥4 and N≠5,we obtain multiple nonradial normalized solutions.Moreover,the existence of infinitely many radial normalized solutions is explored for N≥2.Furthermore,all solutions discussed above are sign-changing.As a supplementary result,we also prove the nonexistence of nontrivial solutions.Lastly,we analyze the asymptotic behavior of all solutions obtained above as b→0. 展开更多
关键词 Kirchhoff-type equations multiple nonradial and radial normalized solutions sign-changing solutions asymptotic behavior
暂未订购 下载PDF
Existence of Sign-Changing Solutions for the p-Laplacian Equation from Linking Type Theorem 认领 引用 被引量：4
20
作者 You Jun WANG Yao Tian SHEN 《Acta Mathematica Sinica,English Series》 SCIE 2010年第7期1355-1368,共14页
In this paper,the existence of sign-changing solutions for p-Laplacian equation is obtained via a new linking theorem.
关键词 sign-changing solutions p-Laplacian (w-PS)condition linking
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 250 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈