Parametric nonlinear resonant Robin problems
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

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 ▫$\lambda$▫ the problem has at least five nontrivial smooth solutions.

Language: English indefinite and unbounded potential, critical groups, multiple solutions, nonlinear regularity, resonance, Robin boundary condition, strong comparison, truncation Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2019 str. 2456-2480 Vol. 292, iss. 11 517.956.2 0025-584X 10.1002/mana.201800505 18720857 287 52 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

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Title: Mathematische Nachrichten Math. Nachr. Wiley-VCH-Verl. 0025-584X 25915392