We consider a parametric semilinear elliptic equation with a Carathéodory reaction which exhibits competing nonlinearities. It is concave (sublinear) near the origin and convex (superlinear) or linear near infty. Usingvariational methods based on the critical point theory, coupled with suitabletruncation and comparison techniques, we prove a bifurcation-type theorem, describing the set of positive solutions as the parameter varies.
Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions / Barletta, G., Livrea, R., Papageorgiou, N.S.. - In: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. - ISSN 1345-4773. - 17:8(2016), pp. 1497-1516.
Bifurcation phenomena for the positive solutions of semilinear elliptic problems with mixed boundary conditions
BARLETTA, Giuseppina;
2016-01-01
Abstract
We consider a parametric semilinear elliptic equation with a Carathéodory reaction which exhibits competing nonlinearities. It is concave (sublinear) near the origin and convex (superlinear) or linear near infty. Usingvariational methods based on the critical point theory, coupled with suitabletruncation and comparison techniques, we prove a bifurcation-type theorem, describing the set of positive solutions as the parameter varies.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
