Concentrating solutions of the Liouville equation with Robin boundary condition

Author	dc.contributor.author	Dávila, Juan
Author	dc.contributor.author	Topp Paredes, Erwin	es_CL
Admission date	dc.date.accessioned	2012-05-30T20:13:03Z
Available date	dc.date.available	2012-05-30T20:13:03Z
Publication date	dc.date.issued	2012
Cita de ítem	dc.identifier.citation	J. Differential Equations 252 (2012) 2648–2697	es_CL
Identifier	dc.identifier.other	doi:10.1016/j.jde.2011.09.036
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125615
Abstract	dc.description.abstract	We construct solutions of the Liouville equation u + 2eu =0 inΩ with Ω a smooth bounded domain in R2, with Robin boundary condition ∂u ∂ν + λu =0 on∂Ω. The solutions constructed exhibit concentration as → 0 and simultaneously as λ → +∞, at points that get close to the boundary, and shows that in general the set of solutions of this problems exhibits a richer structure than the problem with Dirichlet boundary conditions.	es_CL
Lenguage	dc.language.iso	en	es_CL
Publisher	dc.publisher	Elsevier	es_CL
Keywords	dc.subject	Liouville equation	es_CL
Título	dc.title	Concentrating solutions of the Liouville equation with Robin boundary condition	es_CL
Document type	dc.type	Artículo de revista