Ground states for nonlinear Schrodinger equation with sign-changing and vanishing potential

被引：1

作者：

Xue, Ye ^{[1
]}

Han, Zhiqing ^{[1
]}

Guo, Xiaojie ^{[1
]}

机构：

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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 02期

关键词：

Schrodinger equation; sign-changing potential; ground state solution; sign-changing solution; BOUND-STATES; CRITICAL FREQUENCY;

D O I：

10.1080/17476933.2021.1988582

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we investigate the following nonlinear Schrodinger equation involving a sign-changing and vanishing term of V(x), -Delta u + lambda V(x)u = K(x)g(x,u), x is an element of R-N,N >= 3. We obtain a sign-changing ground state solution(for lambda>0 large) for more general nonlinearities by variational methods.

引用

页码：255 / 266

页数：12

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