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math.AP2022★ 6 cited
Problems involving the fractional -Laplacian with Lack of Compactness
Sabri Bahrouni, Hichem Ounaies, Olfa Elfalah
In this paper we prove compact embedding of a subspace of the fractional Orlicz-Sobolev space consisting of radial functions, our target embed…
math.AP2022
Ground state and nodal solutions for fractional Orlicz problems with lack of regularity and without the Ambrosetti-Rabinowitz condition
Hlel Missaoui, Hichem Ounaies
We consider a non-local Shrödinger problem driven by the fractional Orlicz g-Laplace operator as follows \begin{equation}\label{PP} (-\triangle_{g})^αu+g(u)=K(x)f(x,u),\ \ \text{in…