A class of non-local elliptic system in non-reflexive fractional Orlicz–Sobolev spaces
Hamza El‐Houari, Lalla Saâdia Chadli, H. Moussa
Abstract
The purpose of this paper is to investigate the existence of a weak solution to a non-local elliptic system, driven by the fractional [Formula: see text]-Laplacian operator in fractional Orlicz–Sobolev space that may be non-reflexive. The non-reflexive case occurs when the Orlicz function [Formula: see text] does not verify the [Formula: see text]-condition.
Topics & Concepts
Sobolev spaceMathematicsPure mathematicsReflexivityClass (philosophy)Laplace operatorMathematical analysisSpace (punctuation)Computer scienceArtificial intelligenceSocial scienceSociologyOperating systemNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems