Spherical semiclassical states of a critical frequency for Schrodinger equations with decaying potentials

被引：0

作者：

Byeon, J

Wang, ZQ

机构：

[1] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea

[2] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2006年 / 8卷 / 02期

关键词：

nonlinear Schrodinger equations; critical frequency; concentration on spheres;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For singularly perturbed Schrodinger equations with decaying potentials at infinity we construct semiclassical states of a critical frequency concentrating on spheres near zeroes of the potentials. The results generalize some recent work of Ambrosetti-Malchiodi-Ni [3] which gives solutions concentrating on spheres where the potential is positive. The solutions we obtain exhibit different behaviors from the ones given in [3].

引用

页码：217 / 228

页数：12

共 50 条

[1] Semiclassical stationary states for nonlinear Schrodinger equations with fast decaying potentials
Moroz, Vitaly
Van Schaftingen, Jean
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 37 (1-2) : 1 - 27
[2] Semiclassical states for coupled nonlinear Schrodinger equations with critical frequency
Chen, Taiyong
Jiang, Yahui
Squassina, Marco
Zhang, Jianjun
[J]. ASYMPTOTIC ANALYSIS, 2023, 134 (1-2) : 127 - 154
[3] Multiplicity of semiclassical states for fractional Schrodinger equations with critical frequency
Zhang, Hui
Zhang, Fubao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 190
[4] Multi-peak semiclassical bound states for Fractional Schrodinger Equations with fast decaying potentials
An, Xiaoming
Peng, Shuangjie
[J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (02): : 585 - 614
[5] Semiclassical states for fractional Schrodinger equations with critical growth
Guo, Qing
He, Xiaoming
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 151 : 164 - 186
[6] SEMICLASSICAL STATES FOR CRITICAL CHOQUARD EQUATIONS WITH CRITICAL FREQUENCY
Gao, Fashun
Zhou, Jiazheng
[J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (01) : 107 - 133
[7] Nodal Type Bound States for Nonlinear Schrodinger Equations with Decaying Potentials
Luo Tingjian
Wang Zhengping
[J]. JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2012, 25 (01): : 79 - 89
[8] Semiclassical states for nonlinear Schrodinger equations with sign-changing potentials
Ding, Yanheng
Wei, Juncheng
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 251 (02) : 546 - 572
[9] Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
Vitaly Moroz
Jean Van Schaftingen
[J]. Calculus of Variations and Partial Differential Equations, 2010, 37 : 1 - 27
[10] NONLINEAR SCHRODINGER EQUATIONS WITH VANISHING AND DECAYING POTENTIALS
Ambrosetti, A.
Wang, Z. -Q.
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2005, 18 (12) : 1321 - 1332

← 1 2 3 4 5 →