Nonradial solutions for the Henon equation in R-N

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Author(s):	Gladiali, Francesca ^[1] ; Grossi, Massimo ^[2] ; Neves, Sergio L. N. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Sassari, Dipartimento Polcoming Matemat & Fis, I-07100 Sassari - Italy ^[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome - Italy ^[3] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083859 Campinas, SP - Brazil Total Affiliations: 3
Document type:	Journal article
Source:	ADVANCES IN MATHEMATICS; v. 249, p. 1-36, DEC 20 2013.
Web of Science Citations:	19
Abstract
In this paper we consider the problem [-Delta u = (N + alpha)(N - 2)vertical bar x vertical bar(alpha)u(N+2+2 alpha/N-2) in R-N, u > 0 in R-N, where alpha > 0 and N >= 3. From the characterization of the solutions of the linearized operator, we deduce the existence of nonradial solutions which bifurcate from the radial one when alpha is an even integer. (C) 2013 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	12/10153-6 - Nonlinear Elliptic Equations with Singular Potentials
Grantee:	Sérgio Leandro Nascimento Neves
Support Opportunities:	Scholarships in Brazil - Post-Doctoral