Multiple solutions for strongly resonant Robin problems

Nikolaos S. Papageorgiou, Calogero Vetro and Francesca Vetro

Mathematische Nachrichten, 2018, vol. 291, issue 7, 1147-1167

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.

Date: 2018
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