Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions
- Autori: Barletta, G.; Livrea, R.; Papageorgiou, N.
- Anno di pubblicazione: 2016
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Bifurcation-type theorem; Cerami condition; Mixed boundary conditions; Mountain pass theorem; Positive solutions; Truncation
- OA Link: http://hdl.handle.net/10447/258611
Abstract
We consider a parametric semilinear elliptic equation with a Cara-theodory reaction which exhibits competing nonlinearities. It is "concave" (sub-linear) near the origin and "convex" (superlinear) or linear near $+\infty$. Using variational methods based on the critical point theory, coupled with suitable truncation and comparison techniques, we prove a bifurcation-type theorem, describing the set of positive solutions as the parameter varies.