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Nontrivial solutions for resonant noncooperative elliptic systems

โœ Scribed by Yuxia Guo


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
98 KB
Volume
53
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES


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

Remarks on Multiple Nontrivial Solutions
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In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.