Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Athmane Boumazourh; Mohammed Srati

doi:10.2478/mjpaa-2020-0004

$Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space Cover$

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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Moroccan Journal of Pure and Applied Analysis

Volume 6 (2020): Issue 1 (June 2020)

By: Athmane Boumazourh and Mohammed Srati

Open Access

|May 2020

Abstract

Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.

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