Maximal solution of the Liouville equation in doubly connected domains
| Author | dc.contributor.author | Kowalczyk, Michał | |
| Author | dc.contributor.author | Pistoia, Angela | |
| Author | dc.contributor.author | Vaira, Giusi | |
| Admission date | dc.date.accessioned | 2019-10-30T15:23:55Z | |
| Available date | dc.date.available | 2019-10-30T15:23:55Z | |
| Publication date | dc.date.issued | 2019 | |
| Cita de ítem | dc.identifier.citation | Journal of Functional Analysis, Volumen 277, Issue 9, 2019, Pages 2997-3050 | |
| Identifier | dc.identifier.issn | 10960783 | |
| Identifier | dc.identifier.issn | 00221236 | |
| Identifier | dc.identifier.other | 10.1016/j.jfa.2019.06.013 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/172359 | |
| Abstract | dc.description.abstract | In this paper we consider the Liouville equation Δu+λ2eu=0 with Dirichlet boundary conditions in a two dimensional, doubly connected domain Ω. We show that there exists a simple, closed curve γ⊂Ω such that for a sequence λn→0 and a sequence of solutions un it holds [Formula presented], where H is a harmonic function in Ω∖γ and [Formula presented], where cΩ is a constant depending on the conformal class of Ω only. | |
| Lenguage | dc.language.iso | en | |
| Publisher | dc.publisher | Academic Press Inc. | |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| Source | dc.source | Journal of Functional Analysis | |
| Keywords | dc.subject | Bubbling solutions | |
| Keywords | dc.subject | Liouville equation | |
| Keywords | dc.subject | Maximal solution | |
| Keywords | dc.subject | Minimal solution | |
| Título | dc.title | Maximal solution of the Liouville equation in doubly connected domains | |
| Document type | dc.type | Artículo de revista | |
| Cataloguer | uchile.catalogador | SCOPUS | |
| Indexation | uchile.index | Artículo de publicación SCOPUS | |
| uchile.cosecha | uchile.cosecha | SI |
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Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile