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Multiplicity of solutions for a class of elliptic boundary value problems

✍ Scribed by Xiaoming He; Wenming Zou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
521 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we study the existence of infinitely many solutions for a class of elliptic boundary value problems. The existence results include both superlinear case and an asymptotically linear case. Our arguments are based on a recently given new Fountain Theorem due to Zou [W. Zou, Variant Fountain Theorems and their applications, Manuscripta Math. 104 (2001) 343-358].

πŸ“œ SIMILAR VOLUMES

Multiple solutions of semilinear degener
Multiple solutions of semilinear degenerate elliptic boundary value problems
✍ Kazuaki Taira πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 177 KB πŸ‘ 1 views

## 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