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

Abstract

We study a nonlinear boundary value problem driven by the ▫$p$▫-Laplacian plus an indefinite potential with Robin boundary condition. The reaction term is a Carathéodory function which is asymptotically resonant at ▫$\pm \infty$▫ with respect to a nonprincipal Ljusternik-Schnirelmann eigenvalue. Using variational methods, together with Morse theory and truncation-perturbation techniques, we show that the problem has at least three nontrivial smooth solutions, two of which have a fixed sign.

Keywords

p-Laplacian;Robin boundary condition;resonance;critical groups;multiple nontrivial smooth solutions;indefinite potential;

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: 18019929 Link will open in a new window
ISSN: 0944-2669
Views: 433
Downloads: 313
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Other data

Type (COBISS): Article
Pages: art. 63 [23 str.]
Volume: ǂVol. ǂ56
Issue: ǂiss. ǂ3
Chronology: June 2017
DOI: http://dx.doi.org/10.1007/s00526-017-1164-2
ID: 11221175