EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Fang, Xiang-Dong ^{[1
]}

Han, Zhi-Qing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

关键词：

Quasilinear Schrodinger equation; sign-changing potential; Cerami sequences; SOLITON-SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we consider the quasilinear Schrodinger equation where the potential is sign-changing. We employ a mountain pass argument without compactness conditions to obtain the existence of a nontrivial solution.

引用

页数：8

共 50 条

[1] On nontrivial solutions of nonlinear Schrodinger equations with sign-changing potential
Chen, Wei
Wu, Yue
Jhang, Seongtae
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[2] Existence and concentration behavior of sign-changing solutions for quasilinear Schrodinger equations
Deng YinBin
Shuai Wei
[J]. SCIENCE CHINA-MATHEMATICS, 2016, 59 (06) : 1095 - 1112
[3] Multiplicity and existence of solutions for generalized quasilinear Schrodinger equations with sign-changing potentials
Huang, Chen
[J]. BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
[4] Sign-changing solutions for quasilinear Schrodinger equations with restraint
Xiong, Ming
Liu, Xiangqing
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 86 : 1 - 11
[5] Nontrivial Solutions for Periodic Schrodinger Equations with Sign-Changing Nonlinearities
Chen, Shaowei
Lin, Lishan
Xiao, Liqin
[J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
[6] INFINITELY MANY SOLUTIONS FOR GENERALIZED QUASILINEAR SCHRODINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL
Shi, Hongxia
Chen, Haibo
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (01) : 53 - 66
[7] Existence and multiplicity of solutions for Schrodinger-Poisson equations with sign-changing potential
Ye, Yiwei
Tang, Chun-Lei
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 53 (1-2) : 383 - 411
[8] Existence and multiplicity of sign-changing solutions for quasilinear Schrodinger equations with sub-cubic nonlinearity
Zhang, Hui
Liu, Zhisu
Tang, Chun-Lei
Zhang, Jianjun
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 365 : 199 - 234
[9] EXISTENCE OF NONTRIVIAL SOLUTIONS FOR SINGULAR QUASILINEAR EQUATIONS WITH SIGN CHANGING NONLINEARITY
Tyagi, Jagmohan
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[10] INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS IN RN
Deng, Yinbin
Peng, Shuangjie
Wang, Jixiu
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2011, 9 (03) : 859 - 878

← 1 2 3 4 5 →