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

Abstract

We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator plus an indefinite potential. In the reaction we have the competing effects of a singular term and of concave and convex nonlinearities. In this paper the concave term will be parametric. We prove a bifurcation-type theorem describing the changes in the set of positive solutions as the positive parameter ▫$\lambda$▫ varies.

Keywords

nonhomogeneous differential operator;indefinite potential;singular term;concave and convex nonlinearities;truncation;comparison principles;nonlinear regularity;nonlinear maximum principle;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.956.2
COBISS: 18663001 Link will open in a new window
ISSN: 1664-2368
Views: 474
Downloads: 219
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Other data

Secondary language: English
Type (COBISS): Article
Pages: str. 2237-2262
Volume: ǂVol. ǂ9
Issue: ǂiss. ǂ4
Chronology: Dec. 2019
DOI: 10.1007/s13324-019-00333-7
ID: 11779601