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

Abstract

We consider a nonlinear Robin problem driven by the sum of ▫$p$▫-Laplacian and ▫$q$▫-Laplacian (i.e. the ▫$p, q)$▫-equation). In the reaction there are competing effects of a singular term and a parametric perturbation ▫$\lambda f(z,x)$▫, which is Carathéodory and ▫$(p-1)$▫-superlinear at ▫$x \in \mathbb{R}$▫ without satisfying the Ambrosetti-Rabinowitz condition. Using variational tools, together with truncation and comparison techniques, we prove a bifurcation-type result describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.

Keywords

nonhomogeneous differential operator;nonlinear regularity theory;truncation;strong comparison principle;positive solutions;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956
COBISS: 30724867 Link will open in a new window
ISSN: 1468-1218
Views: 433
Downloads: 291
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Other data

Type (COBISS): Article
Pages: art. 103217 (20 str.)
Issue: ǂVol. ǂ58
Chronology: Apr. 2021
DOI: 10.1016/j.nonrwa.2020.103217
ID: 12058563