Super-critical boundary bubbling in a semilinear Neumann problem
Author | dc.contributor.author | Pino Manresa, Manuel del | |
Author | dc.contributor.author | Musso, Mónica | es_CL |
Author | dc.contributor.author | Pistoia, Angela | es_CL |
Admission date | dc.date.accessioned | 2007-06-05T20:53:31Z | |
Available date | dc.date.available | 2007-06-05T20:53:31Z | |
Publication date | dc.date.issued | 2005-01 | |
Cita de ítem | dc.identifier.citation | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | en |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/124655 | |
Abstract | dc.description.abstract | In this paper we consider the following problem {-Δu+u=uN+2N-2+εinΩ,u>0inΩ,∂u∂ν= 0on∂Ω, where Ω is a smooth bounded domain in RN and N≥3. We prove the existence of a one-spike solution to (0.1) which concentrates around a topologically non trivial critical point of the mean curvature of the boundary with positive value. Under some symmetry assumption on Ω, namely if Ω is even with respect to N-1 variables and 0∈∂Ω is a point with positive mean curvature, we prove existence of solutions to (0.1) which resemble the form of a super-position of spikes centered at 0. | en |
Lenguage | dc.language.iso | es | en |
Publisher | dc.publisher | ELSEVIER SCIENCE BV | en |
Keywords | dc.subject | Bubble solutions | en |
Título | dc.title | Super-critical boundary bubbling in a semilinear Neumann problem | en |
Document type | dc.type | Artículo de revista |
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