Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction

Calogero Vetro, Dušan D. Repovš, Nikolaos S. Papageorgiou

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1 Citation (Scopus)

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 λ> 0 varies.
Original languageEnglish
Pages (from-to)1774-1803
Number of pages30
JournalTHE JOURNAL OF GEOMETRIC ANALYSIS
Volume30
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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