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Robin double-phase problems with singular and superlinear terms
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

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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.

Language:English
Keywords:nonhomogeneous differential operator, nonlinear regularity theory, truncation, strong comparison principle, positive solutions
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2021
Number of pages:art. 103217 (20 str.)
Numbering:Vol. 58
UDC:517.956
ISSN on article:1468-1218
DOI:10.1016/j.nonrwa.2020.103217 Link is opened in a new window
COBISS.SI-ID:30724867 Link is opened in a new window
Views:199
Downloads:175
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Record is a part of a journal

Title:Nonlinear analysis: real world applications
Shortened title:Nonlinear anal.: real world appl.
Publisher:Pergamon
ISSN:1468-1218
COBISS.SI-ID:10725465 This link opens in a new window

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