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

Abstract

We consider a nonlinear parametric Dirichlet problem driven by the ▫$p$▫-Laplace differential operator and a reaction which has the competing effects of a parametric singular term and of a Carathéodory perturbation which is ▫$p-1$▫-linear near ▫$+\infty$▫. The problem is uniformly nonresonant with respect to the principal eigenvalue of ▫$(-\Delta _p,W^{1,p}_0(\Omega ))$▫. We look for positive solutions and prove a bifurcation-type theorem describing in an exact way the dependence of the set of positive solutions on the parameter ▫$\lambda >0$▫.

Keywords

parametric singular term;(p-1)-linear perturbation;uniform nonresonance;nonlinear regularity theory;truncation;strong comparison principle;bifurcation-type 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: 18403929 Link will open in a new window
ISSN: 1664-3607
Views: 584
Downloads: 342
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Other data

Type (COBISS): Article
Pages: art. 1950011 (21 str.)
Volume: ǂVol. ǂ9
Issue: ǂiss. ǂ3
Chronology: Dec. 2019
DOI: 10.1142/S1664360719500115
ID: 11204695