Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8054446 | Applied Mathematics Letters | 2015 | 4 Pages |
Abstract
In this paper, we report on some recent results obtained in our joint paper Papageorgiou and RÄdulescu (in press). We establish multiplicity properties for a class of semilinear Neumann problems driven by the Laplacian plus on unbounded and indefinite potential. The reaction is a Carathéodory function which exhibits linear growth near ±â. We allow for resonance to occur with respect to a nonprincipal nonnegative eigenvalue. The approach combines critical point theory, Morse theory and the Lyapunov-Schmidt method.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nikolaos S. Papageorgiou, VicenÅ£iu D. RÄdulescu,