On a fourth-order Neumann problem in variable exponent spaces-Reference-Cited by-同舟云学术

On a fourth-order Neumann problem in variable exponent spaces

Published:2023 Issue:7 Volume:37 Page:2027-2039
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zuo Jiabin¹,El Allali²,Taarabti Said³,Repovs Dusan⁴

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, People’s Republic of China

2. Team of Modeling and Scientific Computing Department of Mathematics, Multidisciplinary Faculty of Nador, Mohammed First University, Oujda, Morocco

3. Laboratory of Systems Engineering and Information Technologies (LISTI), National School of Applied Sciences of Agadir, Ibn Zohr University, Agadir, Morocco

4. Faculty of Education, University of Ljubljana, Ljubljana, Slovenia + Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia + Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia

Abstract

We study the Neumann problem with Leray-Lions type operator. Using the classical variational theory, we prove the existence, uniqueness and multiplicity of solutions. As far as we know, this is the first attempt to investigate such a fourth-order problem involving Leray-Lions type operators.

Publisher

National Library of Serbia

Subject

General Mathematics

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