Existence of solutions for a class of Schrodinger equations in RN with magnetic field and vanishing potential

被引：0

作者：

Ji, Chao ^{[1
]}

Yin, Zhao ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2019年 / 5卷 / 02期

基金：

中国博士后科学基金;

关键词：

Magnetic field; Vanishing potential; Subcritical growth; Penalization technique; Variational method; ELLIPTIC-EQUATIONS;

D O I：

10.1007/s41808-019-00041-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish a result on existence of nontrivial solutions for the following Schrodinger equation -(del + iA)(2)u + V(x)u = f (vertical bar u vertical bar(2))u, in R-N, where N >= 3, A : R-N -> R-N is a magnetic potential, the potential V is nonnegative and f(t) has subcritical growth. The technique used here is the variational method combined with penalization technique of Del Pino and Moser iteration. As a main novelty with respect to some previous results, we deal with the problem with magnetic field and the potential can vanish at infinity.

引用

页码：251 / 268

页数：18

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