Existence and multiplicity results for fractional <i>p</i>(<i>x</i>)-Laplacian Dirichlet problem-Reference-Cited by-同舟云学术

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

Published:2022-05-01 Issue:2 Volume:8 Page:148-162
ISSN:2351-8227
Container-title:Moroccan Journal of Pure and Applied Analysis
language:en
Short-container-title:

Author:

Chakrone O.¹,Belhadj K.²,Sidi Ammi M. R.³,Zerouali A.⁴

Affiliation:

1. University Mohammed I , Faculty of Sciences , Oujda , Morocco .

2. University Moulay Ismail of Meknes, FST Errachidia , LMIMA Laboratory, ROLALI Group , Morocco .

3. University Moulay Ismail of Meknes, FST Errachidia , MAIS Laboratory , AMNEA Group, Morocco .

4. Regional Centre of Trades Education and Training , Oujda , Morocco .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Analysis

Link

https://www.sciendo.com/pdf/10.2478/mjpaa-2022-0011

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