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Multiple nontrivial solutions for some fourth-order semilinear elliptic problems

โœ Scribed by Jihui Zhang; Shujie Li

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
181 KB
Volume
60
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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Existence of multiple nontrivial solutions for semilinear elliptic problems
โœ A.R. El Amrouss; F. Moradi; M. Moussaoui ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 634 KB

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.

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โœ Xiaoming He; Wenming Zou ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

Let โ„ฆ be a bounded domain in R N (N โ‰ฅ 5) with smooth boundary โˆ‚โ„ฆ and the origin 0 is a bounded positive function on ฮฉ . We prove the existence results for nontrivial solutions to the Dirichlet problem + ฮปu in โ„ฆ , u = 0 on โˆ‚โ„ฆ , for suitable numbers ยต and ฮป.