lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods-Reference-Cited by-同舟云学术

lnfinitely many solutions for fractional Schrödinger equations with perturbation via variational methods

Published:2017-05-08 Issue:1 Volume:15 Page:578-586
ISSN:2391-5455
Container-title:Open Mathematics
language:
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Author:

Li Peiluan¹²,Shang Youlin¹

Affiliation:

1. School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, 471023 Henan, China

2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1B 3X7, Newfoundland, Canada

Abstract

Abstract Using variational methods, we investigate the solutions of a class of fractional Schrödinger equations with perturbation. The existence criteria of infinitely many solutions are established by symmetric mountain pass theorem, which extend the results in the related study. An example is also given to illustrate our results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2017-0053/pdf

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