| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5471715 | Applied Mathematics Letters | 2017 | 7 Pages |
Abstract
We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carathéodory function exhibiting linear growth near ±â. We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro,