Positive solutions for nonlinear parametric singular Dirichlet problems
ID Papageorgiou, Nikolaos S. (Author), ID Rǎdulescu, Vicenţiu (Author), ID Repovš, Dušan (Author)

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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
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
FMF - Faculty of Mathematics and Physics
Number of pages:art. 1950011 (21 str.)
Numbering:Vol. 9, iss. 3
PID:20.500.12556/RUL-109066 This link opens in a new window
ISSN on article:1664-3607
DOI:10.1142/S1664360719500115 This link opens in a new window
COBISS.SI-ID:18403929 This link opens in a new window
Publication date in RUL:20.08.2019
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Record is a part of a journal

Title:Bulletin of mathematical sciences
Shortened title:Bull. math. sci.
Publisher:Springer International Publishing
COBISS.SI-ID:18343257 This link opens in a new window

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