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Nontrivial solutions for elliptic resonant problems

โœ Scribed by Shibo Liu


Book ID
108216074
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
538 KB
Volume
70
Category
Article
ISSN
0362-546X

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Multiple nontrivial solutions for resona
โœ Michael Filippakis; Nikolaos S. Papageorgiou ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 172 KB

## Abstract We consider semilinear second order elliptic Neumann problems, which are resonant both at infinity (with respect to an eigenvalue __ฮป__~__k__~, __k__ โ‰ฅ 1) and at zero (with respect to the principal eigenvalue __ฮป__~0~ = 0). Using techniques from Morse theory, combined with variational m

Existence of multiple nontrivial solutio
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.