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arXiv · 1803.05680

Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential

Nikolaos S. Papageorgiou·Vicenţiu D. Rădulescu·Dušan D. Repovš
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Abstract

We consider a nonlinear Robin problems driven by the $p$-Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical groups we prove existence and multiplicity theorems.

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Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš. 2018-03-15. Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential. https://doi.org/10.5186/aasfm.2018.4331

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