In this paper, we deal with the following fractional nonlocal p-Laplacian problem: u u (− ≥ = ∆) 0 0sp u u = ≢ λβ 0 (x)uq + f(u) in Ω, in Ω, in RN \ Ω, where Ω ⊂ RN is a bounded domain with a smooth boundary of RN, s ∈ (0, 1), p ∈ (1, ∞), N > sp, λ is a real parameter, β ∈ L∞(Ω) is allowed to be indefinite in sign, q > 0 and f : [0, +∞) → R is a continuous function oscillating near the origin or at infinity. By using variational and topological methods, we obtain the existence of infinitely many solutions for the problem under consideration. The main results obtained here represent some new interesting phenomena in the nonlocal setting.
|Titolo:||On nonlocal fractional laplacian problems with oscillating potentials|
|Data di pubblicazione:||2018|
|Appare nelle tipologie:||1.1 Articolo in rivista|