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

Abstract

We consider a nonlinear elliptic equation driven by the Dirichlet ▫$p$▫-Laplacian with a singular term and a ▫$(p-1)$▫-linear perturbation which is resonant at ▫$+\infty$▫ with respect to the principal eigenvalue. Using variational tools, together with suitable truncation and comparison techniques, we show the existence of at least two positive smooth solutions.

Keywords

singular reaction;resonance;regularity;positive solutions;maximum principle;mountain pass theorem;

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: 18154073 Link will open in a new window
ISSN: 1072-6691
Views: 362
Downloads: 190
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 1-13
Volume: ǂVol. ǂ2017
Issue: ǂno. ǂ249
Chronology: 2017
ID: 11222878