6533b85afe1ef96bd12b9b39

RESEARCH PRODUCT

Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions

G. BarlettaR. LivreaN. S. Papageorgiou

subject

Positive solutionTruncationCerami conditionMixed boundary conditionMountain pass theoremBifurcation-type theorem

description

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.

yearjournalcountryeditionlanguage
2016-01-01
http://hdl.handle.net/10447/258611