Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains

Musso, Monica

Pontificia Universidad Católica de Chile

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2024-04-17. Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains.pdf

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Musso, Monica Pistoia, Angela

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We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains the origin and is symmetric with respect to the origin, N >= 3 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. (C) 2006 Elsevier Masson SAS. All rights reserved.

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Autor	Musso, Monica Pistoia, Angela
Título	Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
Revista	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
Volumen	86
Número de publicación	6
Página inicio	510
Página final	528
Fecha de publicación	2006
Resumen	We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains the origin and is symmetric with respect to the origin, N >= 3 and epsilon is a positive parameter. As epsilon goes to zero, we construct sign changing solutions with multiple blow up at the origin. (C) 2006 Elsevier Masson SAS. All rights reserved.
Derechos	acceso restringido
DOI	10.1016/j.matpur.2006.10.006
Editorial	GAUTHIER-VILLARS/EDITIONS ELSEVIER
Enlace	https://doi.org/10.1016/j.matpur.2006.10.006 https://repositorio.uc.cl/handle/11534/77527
Id de publicación en WoS	WOS:000243143900005
Paginación	19 páginas
Palabra clave	critical Sobolev exponent sign changing solution multiple blow up BREZIS-NIRENBERG PROBLEM MINIMAL NODAL SOLUTIONS VARIATIONAL PROBLEM SYMMETRIC DOMAIN CRITICAL GROWTH EQUATIONS TOPOLOGY HOLES COMPACTNESS EXISTENCE
Tipo de documento	artículo