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

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.

Keywords

• fractional a-laplacian
• fractional orlicz-sobolev spaces
• leray-schauder’s alternative theorem
• 35j20
• 35j60
• 35r11
• 58e05