Results on multiple nontrivial solutions to partial difference equations

Results on multiple nontrivial solutions to partial difference equations

In this paper, we consider the existence and multiplicity of nontrivial solutions to second order partial difference equation with Dirichlet boundary conditions by Morse theory. Given suitable conditions, we establish multiple results that the problem admits at least two nontrivial solutions. Moreov...

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Detalhes bibliográficos
Main Authors: Huan Zhang, Yin Zhou, Yuhua Long
Formato: Artigo
Idioma:English
Publicado em: AIMS Press 2023-01-01
Colecção:AIMS Mathematics
Assuntos:
partial difference equation
local linking
morse theory
nontrivial solution
Acesso em linha:https://www.aimspress.com/article/doi/10.3934/math.2023272?viewType=HTML

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