Discrete Dynamics in Nature and Society (Jan 2018)

Infinitely Many Solutions for a Class of Fractional Impulsive Coupled Systems with (p,q)-Laplacian

  • Junping Xie,
  • Xingyong Zhang

DOI
https://doi.org/10.1155/2018/9256192
Journal volume & issue
Vol. 2018

Abstract

Read online

By using the symmetric mountain pass lemma, we investigate the problem of existence of infinitely many solutions for a class of fractional impulsive coupled systems with (p,q)-Laplacian, which possesses mixed type nonlinearities, and the nonlinearities do not need to satisfy the well-known Ambrosetti-Rabinowitz condition.