Parametric nonlinear resonant Robin problems

Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu and Dušan D. Repovš

Mathematische Nachrichten, 2019, vol. 292, issue 11, 2456-2480

Abstract: We consider a nonlinear Robin problem driven by the p‐Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly (p−1)‐sublinear and the other one is (p−1)‐linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all big values of the parameter λ the problem has at least five nontrivial smooth solutions.

Date: 2019
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https://doi.org/10.1002/mana.201800505

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:11:p:2456-2480

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