Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data
Author | dc.contributor.author | Dávila, Juan | |
Author | dc.contributor.author | Pino Manresa, Manuel del | es_CL |
Author | dc.contributor.author | Musso, Mónica | es_CL |
Admission date | dc.date.accessioned | 2007-05-18T15:09:01Z | |
Available date | dc.date.available | 2007-05-18T15:09:01Z | |
Publication date | dc.date.issued | 2005-10-15 | |
Cita de ítem | dc.identifier.citation | JOURNAL OF FUNCTIONAL ANALYSIS 227 (2): 430-490 OCT 15 2005 | en |
Identifier | dc.identifier.issn | 0022-1236 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/124599 | |
Abstract | dc.description.abstract | We consider the elliptic equation -Delta u+u=O in a bounded, smooth domain ohm in R-2 subject to the nonlinear Neumann boundary condition delta u/delta v = epsilon e(u). Here epsilon > 0 is a small parameter. We prove that any family of solutions u(epsilon) for which epsilon integral(partial derivative ohm)e(u) is bounded, develops up to subsequences a finite number m of peaks xi(i) is an element of partial derivative ohm, in the sense that epsilon e(u) -> 2 pi Sigma(m)(k=1) delta(zeta i) as epsilon -> 0. Reciprocally, we establish that at least two such families indeed exist for any given m >= 1. | en |
Lenguage | dc.language.iso | en | en |
Publisher | dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en |
Keywords | dc.subject | BOUNDARY-VALUE PROBLEM | en |
Título | dc.title | Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data | en |
Document type | dc.type | Artículo de revista |
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