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Nontrivial solutions of discrete elliptic boundary value problems

โœ Scribed by Hengsheng Tang; Wei Luo; Xu Li; Manjun Ma

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
224 KB
Volume
55
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

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.

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## Dedicated to Professor Kyuya Masuda on the occasion of his 70th birthday The purpose of this paper is to study a class of semilinear elliptic boundary value problems with degenerate boundary conditions which include as particular cases the Dirichlet problem and the Robin problem. The approach h