Infinitely many solutions for a nonlocal type problem with sign-changing weight function

Date

2021-03-18

Authors

Azroul, Elhoussine
Benkirane, Abdelmoujib
Srati, Mohammed
Torres, Cesar

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we study the existence of weak solutions for a fractional type problem driven by a nonlocal operator of elliptic type (-Δ)sa1u - λa2(|u|)u = ƒ(x, u) + g(x)|u|q(x)-2u in Ω u = 0 in ℝN \ Ω. Our approach is based on critical point theorems and variational methods.

Description

Keywords

Fractional Orlicz-Sobolev spaces, Critical point theorems, Variational methods

Citation

Azroul, E., Benkirane, A., Srati, M., & Torres, C. (2021). Infinitely many solutions for a nonlocal type problem with sign-changing weight function. <i>Electronic Journal of Differential Equations, 2021</i>(16), pp. 1-15.

Rights

Attribution 4.0 International

Rights Holder

Rights License