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

Abstract

We consider a nonlinear Robin problem driven by the ▫$p$▫-Laplacian plus an indefinite potential. The reaction term is of arbitrary growth and only conditions near zero are imposed. Using critical point theory together with suitable truncation and perturbation techniques and comparison principles, we show that the problem admits a sequence of distinct smooth nodal solutions converging to zero in ▫$C^1(\overline{\Omega})$▫.

Keywords

Robin p-Laplacian;indefinite potential;nodal solutions;truncation techniques;comparison principle;

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: 18124633 Link will open in a new window
ISSN: 1534-0392
Views: 501
Downloads: 318
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 231-241
Volume: ǂVol. ǂ17
Issue: ǂno. ǂ1
Chronology: 2018
DOI: 10.3934/cpaa.2018014
ID: 11206829