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# Positive solutions for asymptotically linear problems in exterior domains

Ponente: Liliane Maia
Tipo de Evento: Investigación
Cuándo 03/11/2016 de 11:00 a 12:00 Salón 1 vCal iCal

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.