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

<p>In this paper, we study a class of fractional <italic>p</italic>(<italic>x</italic>)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.</p>
</abstract>

In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we prove in different situations the existence and multiplicity of solutions.

Existence and multiplicity results for fractional <italic>p</italic>(<italic>x</italic>)-Laplacian Dirichlet problem

University Moulay Ismail of Meknes, FST Errachidia

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence and multiplicity results for fractional ()-Laplacian Dirichlet problem

In this paper, we study a class of fractional p(x)-Laplacian Dirichlet problems in a bounded domain with Lipschitz boundary. Using variational methods, we...

Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem

Published Online: May 28, 2022

Page range: 148 - 162

Received: Dec 08, 2020

Accepted: Dec 23, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0011

Keywords
Critical point theorem, Fractional ()-Laplacian, fractional Sobolev space, Variable exponents, Variational methods

© 2022 O. Chakrone et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence and multiplicity results for fractional p(x)-Laplacian Dirichlet problem

Published Online: May 28, 2022

Page range: 148 - 162

Received: Dec 08, 2020

Accepted: Dec 23, 2021

DOI: https://doi.org/10.2478/mjpaa-2022-0011

KeywordsCritical point theorem, Fractional ()-Laplacian, fractional Sobolev space, Variable exponents, Variational methods

© 2022 O. Chakrone et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Critical point theorem, Fractional ()-Laplacian, fractional Sobolev space, Variable exponents, Variational methods