Supercritical elliptic problem with nonautonomous nonlinearities

Gladiali, Francesca Maria and Grossi, Massimo (2012) Supercritical elliptic problem with nonautonomous nonlinearities. Journal of Differential Equations, Vol. 253 (9), p. 2616-2645. eISSN 1090-2732. Article.

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DOI: 10.1016/j.jde.2012.07.006

Abstract

In this paper we study the problem [...] where p_α = N+2+2α / N−2 , Ω is a smooth bounded domain of R^N, 0 ∈ Ω, N [...]3 and α∈(0, 1]. We show that, for ∈ small enough, there exists at least one solution concentrating at x= 0.

Item Type:	Article
ID Code:	8203
Status:	Published
Refereed:	Yes
Uncontrolled Keywords:	Henon’s problem, elliptic boundary value problem
Subjects:	Area 01 - Scienze matematiche e informatiche > MAT/05 Analisi matematica
Divisions:	001 Università di Sassari > 01-a Nuovi Dipartimenti dal 2012 > Scienze Politiche, Scienze della Comunicazione e Ingegneria dell'Informazione
Publisher:	Elsevier
eISSN:	1090-2732
Deposited On:	21 Nov 2012 15:32

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