Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with $ p $-Laplacian-Reference-Cited by-同舟云学术

Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with $ p $-Laplacian

Published:2023 Issue:4 Volume:15 Page:598-610
ISSN:2836-3310
Container-title:Communications in Analysis and Mechanics
language:
Short-container-title:CAM

Author:

He Huiting¹,Ousbika Mohamed²,El Allali Zakaria²,Zuo Jiabin¹

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P. R. China

2. University Mohammed first Oujda, Faculty multidisciplinary of Nador, Oriental applied mathematics laboratory, Team of Modeling and Scientific Computing, Morocco

Abstract

<abstract><p>We investigate the non-trivial solutions for a partial discrete Dirichlet nonlinear problem with $ p $-Laplacian by applying Ricceri's variational principle and a two non-zero critical points theorem. In addition, we identify open intervals of the parameter $ \lambda $ under appropriate constraints imposed on the nonlinear term. This allows us to ensure that the nonlinear problem has at least one or two non-trivial solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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