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

Abstract

We consider a double phase Robin problem with a Carathéodory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.

Keywords

double phase Robin problem;Carathéodory nonlinearity;existence theorem;superlinear case;positive solutions;resonant case;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 16036355 Link will open in a new window
ISSN: 0024-6093
Views: 509
Downloads: 318
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Other data

Secondary language: English
Type (COBISS): Article
Pages: str. 546-560
Volume: ǂVol. ǂ52
Issue: ǂiss. ǂ3
Chronology: June 2020
DOI: 10.1112/blms.12347
ID: 11789627