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Existence of multiple nontrivial solutions for semilinear elliptic problems

✍ Scribed by A.R. El Amrouss; F. Moradi; M. Moussaoui

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
634 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

The aim of this paper is to prove the existence of multiple nontrivial solutions to a semilinear elliptic problem at resonance. The proofs used here are based on combining the Morse theory and the minimax methods.

πŸ“œ SIMILAR VOLUMES

Multiple nontrivial solutions for some f
Multiple nontrivial solutions for some fourth-order semilinear elliptic problems
✍ Jihui Zhang; Shujie Li πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this paper, we consider the existence of multiple nontrivial solutions for some fourth order semilinear elliptic boundary value problems. The weak solutions are sought by means of Morse theory and local linking.