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

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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 ▫$\lambda >0$▫.

Language:English
Keywords:parametric singular term, (p-1)-linear perturbation, uniform nonresonance, nonlinear regularity theory, truncation, strong comparison principle, bifurcation-type theorem
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2019
Number of pages:art. 1950011 (21 str.)
Numbering:Vol. 9, iss. 3
UDC:517.956.2
ISSN on article:1664-3607
DOI:10.1142/S1664360719500115 Link is opened in a new window
COBISS.SI-ID:18403929 Link is opened in a new window
Views:339
Downloads:262
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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
ISSN:1664-3607
COBISS.SI-ID:18343257 This link opens in a new window

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