Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions
Giuseppina Barletta, Roberto Livrea, Nikolaos S. Papageorgiou · Nova Science Publishers (Nova Science Publishers, Inc.) · 2016
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.