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Colección SciELO Chile

Maximal solution of the Liouville equation in doubly connected domains

Indexado

WoS	WOS:000485087600004
Scopus	SCOPUS_ID:85067954995

DOI

10.1016/J.JFA.2019.06.013

Año

2019

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

In this paper we consider the Liouville equation Delta u+lambda(2)e(u) = 0 with Dirichlet boundary conditions in a two dimensional, doubly connected domain Omega. We show that there exists a simple, closed curve gamma subset of Omega such that for a sequence lambda(n) -> 0 and a sequence of solutions u(n) it holds u(n)/log 1/lambda(n) -> H, where H is a harmonic function in Omega\gamma and lambda(2)(n)/log 1/lambda(n) integral(Omega)e(un) dx -> 8 pi c(Omega), where c(Omega) is a constant depending on the conformal class of Omega only. (C) 2019 Elsevier Inc. All rights reserved.

Revista

Revista	ISSN
Journal Of Functional Analysis	0022-1236

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics

Scopus
Sin Disciplinas

SciELO
Sin Disciplinas

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Publicaciones WoS (Ediciones: ISSHP, ISTP, AHCI, SSCI, SCI), Scopus, SciELO Chile.

Colaboración Institucional

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Autores - Afiliación

Ord.	Autor	Género	Institución - País
1	KOWALCZYK, MICHAL ANTONI	Hombre	Universidad de Chile - Chile
2	Pistoia, Angela	Mujer	Sapienza Univ Roma - Italia Università degli Studi di Roma La Sapienza - Italia Sapienza Università di Roma - Italia
3	Vaira, Giusi	Mujer	Univ Campania L Vanvitelli - Italia Università degli Studi della Campania Luigi Vanvitelli - Italia

Muestra la afiliación y género (detectado) para los co-autores de la publicación.

Financiamiento

Fuente
Fondo Nacional de Desarrollo Científico y Tecnológico
Fondo Basal CMM-Chile
Chilean research grants
Sapienza research grant "Nonlinear PDE's in geometry and physics"
GNAMPA research grant "Esistenza e molteplicita di soluzioni per alcuni problemi ellittici non lineari"
Gruppo Nazionale per l'Analisi Matematica, la ProbabilitÃ e le loro Applicazioni
Fondo Basal AFB170001 CMM-Chile

Muestra la fuente de financiamiento declarada en la publicación.

Agradecimientos

Agradecimiento
M. Kowalczyk was partially supported by Chilean research grants Fondecyt 1130126 and 1170164 and Fondo Basal AFB170001 CMM-Chile. Part of this work was done during his visits at the University of Warsaw and Hiroshima University. A. Pistoia was partially supported by Sapienza research grant "Nonlinear PDE's in geometry and physics". G. Vaira was partially supported by GNAMPA research grant "Esistenza e molteplicita di soluzioni per alcuni problemi ellittici non lineari".
M. Kowalczyk was partially supported by Chilean research grants Fondecyt 1130126 and 1170164 and Fondo Basal AFB170001 CMM-Chile. Part of this work was done during his visits at the University of Warsaw and Hiroshima University. A. Pistoia was partially supported by Sapienza research grant “Nonlinear PDE's in geometry and physics”. G. Vaira was partially supported by GNAMPA research grant “Esistenza e molteplicitá di soluzioni per alcuni problemi ellittici non lineari”.☆ M. Kowalczyk was partially supported by Chilean research grants Fondecyt 1130126 and 1170164 and Fondo Basal AFB170001 CMM-Chile. Part of this work was done during his visits at the University of Warsaw and Hiroshima University. A. Pistoia was partially supported by Sapienza research grant “Nonlinear PDE's in geometry and physics”. G. Vaira was partially supported by GNAMPA research grant “Esistenza e molteplicitá di soluzioni per alcuni problemi ellittici non lineari”.

Agradecimiento

M. Kowalczyk was partially supported by Chilean research grants Fondecyt 1130126 and 1170164 and Fondo Basal AFB170001 CMM-Chile. Part of this work was done during his visits at the University of Warsaw and Hiroshima University. A. Pistoia was partially supported by Sapienza research grant “Nonlinear PDE's in geometry and physics”. G. Vaira was partially supported by GNAMPA research grant “Esistenza e molteplicitá di soluzioni per alcuni problemi ellittici non lineari”.☆ M. Kowalczyk was partially supported by Chilean research grants Fondecyt 1130126 and 1170164 and Fondo Basal AFB170001 CMM-Chile. Part of this work was done during his visits at the University of Warsaw and Hiroshima University. A. Pistoia was partially supported by Sapienza research grant “Nonlinear PDE's in geometry and physics”. G. Vaira was partially supported by GNAMPA research grant “Esistenza e molteplicitá di soluzioni per alcuni problemi ellittici non lineari”.