We consider nonlinear (driven by the p-Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.
Papageorgiou, N.S., Vetro, C., Vetro, F. (2018). Multiple solutions for strongly resonant Robin problems. MATHEMATISCHE NACHRICHTEN, 291(7), 1147-1167 [10.1002/mana.201600454].
Multiple solutions for strongly resonant Robin problems
Vetro, Calogero
;Vetro, Francesca
2018-01-01
Abstract
We consider nonlinear (driven by the p-Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.
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