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

Language: English nonhomogeneous differential operator, indefinite potential, singular term, concave and convex nonlinearities, truncation, comparison principles, nonlinear regularity, nonlinear maximum principle Article (dk_c) 1.01 - Original Scientific Article PEF - Faculty of Education 2019 str. 2237-2262 Vol. 9, iss. 4 517.956.2 1664-2368 10.1007/s13324-019-00333-7 18663001 208 134 (0 votes) Voting is allowed only to logged in users. AddThis uses cookies that require your consent. Edit consent...

## Record is a part of a journal

Title: Analysis and mathematical physics Anal. math. phys. Springer International Publishing AG 1664-2368 18662745