Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
type: Item
instance of: scholarly article
title: Existence and multiplicity of nontrivial solutions for a class of semilinear fractional Schrödinger equations
zbMATH Open document ID: 1377.35072
DOI: 10.1155/2017/3793872
author: Xinsheng Du
author: Anmin Mao
published in: Journal of Function Spaces
publication date: 2017-11-01T00:00:00Z
review text: Summary: This paper is concerned with the existence of solutions to the following fractional Schrödinger type equations: \((-\Delta)^su+V(x)u=f(x,u)\), \(x\in R^N\), where the primitive of the nonlinearity \(f\) is of superquadratic growth near infinity in \(u\) and the potential \(V\) is allowed to be sign-changing. By using variant Fountain theorems, a sufficient condition is obtained for the existence of infinitely many nontrivial high energy solutions.
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6801996
zbMATH Keywords: fractional Schrödinger equations
zbMATH Keywords: high energy soloutions
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3793872
OpenAlex ID: W2756977120
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description: scientific article; zbMATH DE number 6801996