<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: May 29, 2020

Page range: 42 - 52

Received: Dec 15, 2019

Accepted: Mar 02, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0004

Keywords
Fractional -laplacian, Fractional Orlicz-Sobolev spaces, Leray-Schauder’s alternative theorem

© 2020 Athmane Boumazourh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: May 29, 2020

Page range: 42 - 52

Received: Dec 15, 2019

Accepted: Mar 02, 2020

DOI: https://doi.org/10.2478/mjpaa-2020-0004

KeywordsFractional -laplacian, Fractional Orlicz-Sobolev spaces, Leray-Schauder’s alternative theorem

© 2020 Athmane Boumazourh et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Fractional -laplacian, Fractional Orlicz-Sobolev spaces, Leray-Schauder’s alternative theorem