Nontrivial solutions of discrete elliptic boundary value problems

This paper aims to show the existence of nontrivial solutions for discrete elliptic boundary value problems by using the “Mountain Pass Theorem”. Some conditions are obtained for discrete elliptic boundary value problems to have at least two nontrivial solutions. The results obtained improve the con...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 55; no. 8; pp. 1854 - 1860
Main Authors Tang, Hengsheng, Luo, Wei, Li, Xu, Ma, Manjun
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2008
Subjects
Boundary value problems
Discrete elliptic boundary value problems
Existence
Existence theorems
Mathematical analysis
Mathematical models
Mountain Pass Theorem
Mountains
Nontrivial solutions
Partial differential equations
Theorems
Variational method
Mountain Pass Theorem
Variational method
Discrete elliptic boundary value problems
Existence
Nontrivial solutions
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Summary:This paper aims to show the existence of nontrivial solutions for discrete elliptic boundary value problems by using the “Mountain Pass Theorem”. Some conditions are obtained for discrete elliptic boundary value problems to have at least two nontrivial solutions. The results obtained improve the consequences of the known literature [Guang Zhang, Existence of nontrivial solutions for discrete elliptic boundary value problems, Numer. Methods Partial Differential Equations 22 (6) (2006) 1479–1488].
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2007.08.030