Nonlinear Nonhomogeneous Robin Problems with Almost Critical and Partially Concave Reaction
- Autori: Papageorgiou N.S.; Repovs D.D.; Vetro C.
- Anno di pubblicazione: 2020
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/409324
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.