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

Abstract

We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosett-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).

Keywords

indefinite potential;Robin boundary condition;critical groups;superlinear reaction term;regularity theory;nodal solutions;

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: 18034521 Link will open in a new window
ISSN: 0022-0396
Views: 441
Downloads: 293
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Other data

Type (COBISS): Article
Pages: str. 3244-3290
Volume: ǂVol. ǂ263
Issue: ǂiss. ǂ6
Chronology: 2017
DOI: 10.1016/j.jde.2017.04.032
ID: 11221201