Nonlinear singular problems with indefinite potential term

Papageorgiou, Nikolaos S. (author), Rǎdulescu, Vicenţiu (author), Repovš, Dušan (author)

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
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2019
• Number of pages: Str. 2237-2262
• Numbering: Vol. 9, iss. 4
• PID: 20.500.12556/RUL-116656
• UDC: 517.956.2
• ISSN on article: 1664-2368
• DOI: 10.1007/s13324-019-00333-7
• COBISS.SI-ID: 18663001
• Publication date in RUL: 01.06.2020

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