Nikolaos Socrates Papageorgiou (Author), Dušan Repovš (Author), Calogero Vetro (Author)

Abstract

We consider a nonlinear Robin problem driven by a nonhomogeneous differential operator, with reaction which exhibits the competition of two Carathéodory terms. One is parametric, ▫$(p-1)$▫-sublinear with a partially concave nonlinearity near zero. The other is ▫$(p-1)$▫-superlinear and has almost critical growth. Exploiting the special geometry of the problem, we prove a bifurcation-type result, describing the changes in the set of positive solutions as the parameter ▫$\lambda > 0$▫ varies.

Keywords

competition phenomena;nonlinear regularity;nonlinear maximum principle;strong comparison principle;bifurcation-type result;almost critical growth;

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: 18727769 Link will open in a new window
ISSN: 1050-6926
Views: 446
Downloads: 264
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Other data

Type (COBISS): Article
Pages: str. 1774-1803
Volume: ǂVol. ǂ30
Issue: ǂiss. ǂ2
Chronology: Apr. 2020
DOI: 10.1007/s12220-019-00278-0
ID: 11758059