Dataciencia

Colección SciELO Chile

Nonexistence of positive supersolutions to some nonlinear elliptic problems

Indexado

WoS	WOS:000318320900004
Scopus	SCOPUS_ID:84876124490

DOI

10.1016/J.MATPUR.2012.10.001

Año

2013

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

In this paper we obtain Liouville type theorems for positive supersolutions of the elliptic problem -Delta u + vertical bar del u vertical bar(q) = lambda f(u) in exterior domains of R-N. Here q > 1 and the function f can be compared with a power p near zero or infinity. We show that positive supersolutions do not exist in some ranges of the parameters p and q which turn out to be optimal for the model case f(s) = s(p). The related problem -Delta u - vertical bar del u vertical bar(q) = f(u) is also analyzed. (C) 2012 Elsevier Masson SAS. All rights reserved.

Revista

Revista	ISSN
Journal De Mathematiques Pures Et Appliquees	0021-7824

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Disciplinas de Investigación

WOS
Mathematics
Mathematics, Applied

Scopus
Mathematics (All)
Applied Mathematics

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	ALARCON-RETAMAL, SEBASTIAN EDMUNDO	Hombre	Universidad Técnica Federico Santa María - Chile
2	Garcia-Melian, J.	Hombre	UNIV LA LAGUNA - España Universidad de La Laguna - España
3	QUAAS-BERGER, ALEXANDER	Hombre	Universidad Técnica Federico Santa María - Chile

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Origen de Citas Identificadas

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Citas identificadas: Las citas provienen de documentos incluidos en la base de datos de DATACIENCIA

Citas Identificadas: 27.78 %
Citas No-identificadas: 72.22 %

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Citas identificadas: Las citas provienen de documentos incluidos en la base de datos de DATACIENCIA

Citas Identificadas: 27.78 %
Citas No-identificadas: 72.22 %

Financiamiento

Fuente
FONDECYT
Fondo Nacional de Desarrollo Científico y Tecnológico
USM
Ministerio de Ciencia e Innovación (Spain)
Ministerio de Ciencia e Innovación
U. de Chile
Ministerio de Ciencia e InnovaciÃ³n
Fondo Nacional de Desarrollo CientÃfico y TecnolÃ³gico
Programa Basal CMM, U. de Chile
University of Southern Maine
CAPDE
CAPDE, Anillo

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Agradecimientos

Agradecimiento
The authors are very grateful to the referee for his/her comments, which greatly improved the presentation of the paper. S.A. was partially supported by USM Grant No. 121002 and Fondecyt Grant No. 11110482. J.G.-M. and A.Q. were partially supported by Ministerio de Ciencia e Innovacion under grant MTM2011-27998 (Spain) and A.Q. was partially supported by Fondecyt Grant No. 1110210 and CAPDE, Anillo ACT-125. All three authors were partially supported by Programa Basal CMM, U. de Chile.
The authors are very grateful to the referee for his/her comments, which greatly improved the presentation of the paper. S.A. was partially supported by USM Grant No. 121002 and Fondecyt Grant No. 11110482. J.G.-M. and A.Q. were partially supported by Ministerio de Ciencia e Innovación under grant MTM2011-27998 (Spain) and A.Q. was partially supported by Fondecyt Grant No. 1110210 and CAPDE, Anillo ACT-125. All three authors were partially supported by Programa Basal CMM, U. de Chile.

Agradecimiento

The authors are very grateful to the referee for his/her comments, which greatly improved the presentation of the paper. S.A. was partially supported by USM Grant No. 121002 and Fondecyt Grant No. 11110482. J.G.-M. and A.Q. were partially supported by Ministerio de Ciencia e Innovacion under grant MTM2011-27998 (Spain) and A.Q. was partially supported by Fondecyt Grant No. 1110210 and CAPDE, Anillo ACT-125. All three authors were partially supported by Programa Basal CMM, U. de Chile.

The authors are very grateful to the referee for his/her comments, which greatly improved the presentation of the paper. S.A. was partially supported by USM Grant No. 121002 and Fondecyt Grant No. 11110482. J.G.-M. and A.Q. were partially supported by Ministerio de Ciencia e Innovación under grant MTM2011-27998 (Spain) and A.Q. was partially supported by Fondecyt Grant No. 1110210 and CAPDE, Anillo ACT-125. All three authors were partially supported by Programa Basal CMM, U. de Chile.