Multiple solutions for a semiclassical Schrodinger equation

被引：11

作者：

Zhang, Jian ^{[1
]}

Zhao, Fukun ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 04期

关键词：

Nonlinear Schrodinger equation; Variational method; Strongly indefinite functionals; ELLIPTIC PROBLEMS; BOUND-STATES; EXISTENCE; NUMBER;

D O I：

10.1016/j.na.2011.09.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the semiclassical nonlinear Schrodinger equation {-epsilon(2)Delta u + V(x)u = f(x, u), x epsilon R-N u(x) -> 0 as vertical bar x vertical bar -> infinity. where epsilon > 0 is a small parameter. Under certain hypotheses on V and a general spectral assumption, the existence and multiplicity of semiclassical solutions are obtained for asymptotically linear nonlinearity via variational methods. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1834 / 1842

页数：9

共 50 条

[31] Semiclassical limit of an inverse problem for the Schrodinger equation
Chen, Shi
Li, Qin
RESEARCH IN THE MATHEMATICAL SCIENCES, 2021, 8 (03)
[32] Semiclassical limit of the derivative nonlinear Schrodinger equation
Desjardins, B
Lin, CK
Tso, TC
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (02): : 261 - 285
[33] On the semiclassical limit of the focusing nonlinear Schrodinger equation
Miller, PD
Kamvissis, S
PHYSICS LETTERS A, 1998, 247 (1-2) : 75 - 86
[34] SEMICLASSICAL SOLUTIONS FOR LINEARLY COUPLED SCHRODINGER EQUATIONS
Chen, Sitong
Tang, Xianhua
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[35] Outset of multiple soliton solutions to the nonlinear Schrodinger equation and the coupled Burgers equation
Akbar, M. Ali
Ali, Norhashidah Hj Mohd
Tanjim, Tasnim
JOURNAL OF PHYSICS COMMUNICATIONS, 2019, 3 (09):
[36] Semiclassical Solutions for a Kind of Coupled Schrodinger Equations
Fan, Jinmei
Jiang, Yi-rong
Zhang, Qiongfen
ADVANCES IN MATHEMATICAL PHYSICS, 2020, 2020
[37] Multiplicity of semiclassical solutions to nonlinear Schrodinger equations
Ding, Yanheng
Wei, Juncheng
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 987 - 1010
[38] Existence of multiple semiclassical solutions for a critical Choquard equation with indefinite potential
Gao, Fashun
Yang, Minbo
Zhou, Jiazheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195
[39] MULTIPLE SOLUTIONS FOR A FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH LOCAL POTENTIAL
Liu, Wulong
Dai, Guowei
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (06) : 2105 - 2123
[40] Multiple solutions for a Schrodinger type equation with an asymptotically linear term
Van Heerden, FA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 55 (06) : 739 - 758

← 1 2 3 4 5 →