Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

Belhadj Karim; A. Lakhdi; M. R. Sidi Ammi; A. Zerouali

doi:10.2478/mjpaa-2022-0004

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Existence and multiplicity results for a Steklov problem involving (p(x), q(x))-Laplacian operator

Moroccan Journal of Pure and Applied Analysis

Volume 8 (2022): Issue 1 (January 2022)

By: Belhadj Karim, A. Lakhdi, M. R. Sidi Ammi and A. Zerouali

Open Access

|Jan 2022

Abstract

In this work, we are concerned with a generalized Steklov problem with (p(x), q(x))-Laplacian operator. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of at least three solutions using Ricceri’s three critical points theorem.

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Articles in this issue

DOI: https://doi.org/10.2478/mjpaa-2022-0004 | Journal eISSN: 2351-8227

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Language: English

Page range: 44 - 53

Submitted on: Dec 8, 2020

Accepted on: May 8, 2021

Published on: Jan 13, 2022

Published by: Sciendo

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Variable exponents,

Variational methods,

Critical points theorem

Related subjects:

Mathematics,

Analysis,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics

© 2022 Belhadj Karim, A. Lakhdi, M. R. Sidi Ammi, A. Zerouali, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 8 (2022): Issue 1 (January 2022)