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Nonlinear singular problems with indefinite potential term
Papageorgiou, Nikolaos (Author), Rǎdulescu, Vicenţiu (Author), Repovš, Dušan (Author)

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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.

Language:English
Keywords:nonhomogeneous differential operator, indefinite potential, singular term, concave and convex nonlinearities, truncation, comparison principles, nonlinear regularity, nonlinear maximum principle
Work type:Article (dk_c)
Tipology:1.01 - Original Scientific Article
Organization:PEF - Faculty of Education
Year:2019
Number of pages:str. 2237-2262
Numbering:Vol. 9, iss. 4
UDC:517.956.2
ISSN on article:1664-2368
DOI:10.1007/s13324-019-00333-7 Link is opened in a new window
COBISS.SI-ID:18663001 Link is opened in a new window
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Downloads:134
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Record is a part of a journal

Title:Analysis and mathematical physics
Shortened title:Anal. math. phys.
Publisher:Springer International Publishing AG
ISSN:1664-2368
COBISS.SI-ID:18662745 This link opens in a new window

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