Open Mathematics (May 2017)

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

  • Li Peiluan,
  • Shang Youlin

DOI
https://doi.org/10.1515/math-2017-0053
Journal volume & issue
Vol. 15, no. 1
pp. 578 – 586

Abstract

Read online

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.

Keywords