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

作     者：Kefi, K. Irzi, N. Al-Shomrani, M.M. Repovš, Dušan D. 

作者机构：Faculty of Computer Science and Information Technology Northern Border University Rafha Saudi Arabia Mathematics Department Faculty of Sciences University of Tunis El-Manar Tunis1060 Tunisia Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box 80203 Jeddah21589 Saudi Arabia Faculty of Education Faculty of Mathematics and Physics University of Ljubljana Institute of Mathematics Physics and Mechanics Ljubljana1000 Slovenia 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2022年

核心收录：

主　　题：Sobolev spaces 

摘      要：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).MSC Codes 35J20, 35J60, 35G30, 35J35, 46E35 Copyright © 2022, The Authors. All rights reserved.