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.
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页码：255 / 266
页数：12
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