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On resonant Neumann problems: Multiplicity of solutions

✍ Scribed by Nikolaos S. Papageorgiou; Ana Isabel Santos Coelho Rodrigues; Vasile Staicu

Book ID
104062956
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
269 KB
Volume
74
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

Multiple nontrivial solutions for resona
Multiple nontrivial solutions for resonant Neumann problems
✍ Michael Filippakis; Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 172 KB

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

Nontrivial solutions for a class of reso
Nontrivial solutions for a class of resonant -Laplacian Neumann problems
✍ Leszek GasiΕ„ski; Nikolaos S. Papageorgiou πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 451 KB

We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a Carathéodory reaction term. We assume that asymptotically at infinity resonance occurs with respect to the principal eigenvalue λ 0 = 0 (i.e., the reaction term is p -1sublinear near +∞). Using variational