Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 243
Infinitely many solutions for a class of fractional equations with potential
Abdelilah Azghay, Mohammed Massar, Abderrahim El Mhouti
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 27, 2022
March 03, 2214
April 15, 2214

Abstract: In this paper, we deal with a nonlinear nonlocal equation involving an anisotropic operator and potential. No coerciveness assumption is required on the potential. We consider the cases when the nonlinear term is either asymptotically linear or superquadratic growth. By the variational method and the variant fountain theorems, the existence of infinitely many high or small energy solutions is established.