Nikolaos Socrates Papageorgiou (Author), Vicenţiu Rǎdulescu (Author), Dušan Repovš (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.

Keywords

indefinite and unbounded potential;critical groups;multiple solutions;nonlinear regularity;resonance;Robin boundary condition;strong comparison;truncation;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956.2
COBISS: 18720857 Link will open in a new window
ISSN: 0025-584X
Views: 505
Downloads: 169
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Other data

Type (COBISS): Article
Embargo end date (OpenAIRE): 2020-12-04
Pages: str. 2456-2480
Volume: ǂVol. ǂ292
Issue: ǂiss. ǂ11
Chronology: Nov. 2019
DOI: 10.1002/mana.201800505
ID: 11319104