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