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

Abstract

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator plus an indefinite potential. The reaction term is a Carathéodory function satisfying certain conditions only near zero. Using suitable truncation, comparison and cut-off techniques, we show that the problem has a sequence of nodal solutions converging to zero in the ▫$C^1(\overline{\Omega})$▫-norm.

Keywords

nodal solutions;indefinite potential;nonhomogeneous differential operator;nonlinear regularity theory;truncation and cut-off techniques;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 18514777 Link will open in a new window
ISSN: 1120-6330
Views: 11
Downloads: 2
Average score: 0 (0 votes)
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Other data

Secondary language: English
Type (COBISS): Not categorized
Pages: str. 721-738
Volume: ǂVol. ǂ29
Issue: ǂiss. ǂ4
Chronology: 2018
DOI: 10.4171/RLM/831
ID: 11210455