Three nontrivial solutions for Neumann problems resonant at any positive eigenvalue

Three nontrivial solutions for Neumann problems resonant at any positive eigenvalue

We consider a semilinear Neumann problem with a parametric reaction which has a concave term and a perturbation which at ±∞ can be resonant with respect to any positive eigenvalue. Using variational methods based on the critical point theory and Morse theory, we show that there exists a critical par...

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Bibliographic Details
Main Authors: Sophia Th. Kyritsi, Nikolaus S. Papageorgiou
Format: Article
Language:English
Published: Università degli Studi di Catania 2010-12-01
Series:Le Matematiche
Subjects:
Resonance
Concave term
Unique continuation property
Ekeland variational principle
Critical groups
Morse relation
Nondegenerate critical point.
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/826

Internet

http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/826

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