Positive solutions for asymptotically linear problems in exterior domains
Ponente: Liliane Maia
Institución: Universidad de Brasilia
Tipo de Evento: Researcher
Institución: Universidad de Brasilia
Tipo de Evento: Researcher
Abstract:
We will present some recent results on the existence of a positive solution for the following class of elliptic problems
-Δu + λu = f(u), u∈H₀¹(Ω),
where Ω is an unbounded domain in R^{N} not necessarily symmetric, N≥3, with smooth boundary ∂Ω≠∅ bounded, and such that R^{N}∖Ω is bounded. The non-linearity f is super-linear at zero and asymptotically linear at infinity.
This result is established via a linking argument on the Nehari manifold and by means of a barycenter function.
This is a work in collaboration with Benedetta Pellacci from Università degli Studi di Napoli Parthenope, Italy.