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

Athmane Boumazourh

Boumazourh, Athmane

and

Srati, Mohammed

May 29, 2020

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

Moroccan Journal of Pure and Applied Analysis

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

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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.

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.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics

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