On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions-Reference-Cited by-同舟云学术

On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions

Published:2021-10-05 Issue: Volume: Page:
ISSN:1664-3607
Container-title:Bulletin of Mathematical Sciences
language:en
Short-container-title:Bull. Math. Sci.

Author:

Kefi K.¹²,Irzi N.²,Al-Shomrani M. M.³,Repovš D. D.⁴

Affiliation:

1. Faculty of Computer Science and Information, Technology, Northern Border University, Rafha, Kingdom of Saudi Arabia

2. Mathematics Department, Faculty of Sciences, University of Tunis, El-Manar, 1060 Tunis, Tunisia

3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589 Jeddah, Kingdom of Saudi Arabia

4. Faculty of Education and Faculty of Mathematics and Physics, University of Ljubljana & Institute of Mathematics, Physics and Mechanics, 1000 Ljubljana, Slovenia

Abstract

We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray–Lions operator with nonstandard growth conditions. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano [Appl. Anal. 89 (2010) 1–10].

Funder

Slovenian Research Agency program

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1664360721500089

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