Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems-Reference-Cited by-同舟云学术

Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems

Published:2022 Issue:7 Volume:30 Page:2681-2699
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Long Yuhua¹²,Zhang Huan¹²

Affiliation:

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

2. Guangzhou University, Guangzhou Center for Applied Mathematics, Guangzhou 510006, China

Abstract

<abstract><p>In this paper, we study discrete elliptic Dirichlet problems. Applying a variational technique together with Morse theory, we establish several results on the existence and multiplicity of nontrivial solutions. Finally, two examples and numerical simulations are provided to illustrate our theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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