Existence and multiplicity of solutions for Schrodinger equations with sublinear nonlinearities

被引：1

作者：

Xue, Ye ^{[1
]}

Han, Zhiqing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 06期

关键词：

Schrodinger equation; sublinear nonlinearity; Hardy-type inequality; variant fountain theorem; infinitely many solutions;

D O I：

10.3934/math.2021324

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we investigate a class of Schrodinger equations with sign-changing potentials V(x) and sublinear nonlinearities. We remove the coercive condition on V(x) usually required in the existing literature and also weaken the conditions on nonlinearities. By proving a Hardy-type inequality, extending the results in [1], and using it together with variational methods, we get at least one or infinitely many small energy solutions for the problem.

引用

页码：5479 / 5492

页数：14

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