Azroul, ElhoussineBenkirane, AbdelmoujibSrati, MohammedTorres, Cesar2021-08-202021-08-202021-03-18Azroul, 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. 1-15.1072-6691https://hdl.handle.net/10877/14413In 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.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Orlicz-Sobolev spacesCritical point theoremsVariational methodsInfinitely many solutions for a nonlocal type problem with sign-changing weight functionArticle