Positive solutions for nonlinear parametric singular Dirichlet problems
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (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 ▫$\lambda >0$▫.

Language: English parametric singular term, (p-1)-linear perturbation, uniform nonresonance, nonlinear regularity theory, truncation, strong comparison principle, bifurcation-type theorem Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2019 art. 1950011 (21 str.) Vol. 9, iss. 3 517.956.2 1664-3607 10.1142/S1664360719500115 18403929 339 262 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: Bulletin of mathematical sciences Bull. math. sci. Springer International Publishing 1664-3607 18343257