Dataciencia

Colección SciELO Chile

Sobolev spaces with variable exponents on Riemannian manifolds

Indexado

WoS

WOS:000324356600005

DOI

10.1016/J.NA.2013.06.012

Año

2013

Tipo

artículo de investigación

Citas Totales

Autores Afiliación Chile

Instituciones Chile

% Participación
Internacional

Autores
Afiliación Extranjera

Instituciones
Extranjeras

Abstract

In this article we study variable exponent Sobolev spaces on Riemannian manifolds. The spaces are examined in the case of compact manifolds. Continuous and compact embeddings are discussed. The paper contains an example of the application of the theory to elliptic equations on compact manifolds. (C) 2013 Elsevier Ltd. All rights reserved.

Revista

Revista	ISSN
Nonlinear Analysis Theory Methods & Applications	0362-546X

Métricas Externas

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Disciplinas de Investigación

WOS
Mathematics
Mathematics, Applied

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	Gaczkowski, Michal	Hombre	Warsaw Univ Technol - Polonia
2	Gorka, Przemyslaw	Hombre	Warsaw Univ Technol - Polonia

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Financiamiento

Fuente
FONDECYT
European Union

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Agradecimientos

Agradecimiento
The authors wish to thank Daniel Pons for his collaboration in proving Lemma 2.1. Moreover, they wish to thank Enrique Reyes for his fruitful comments and suggestions. Some part of the research for this paper was performed during the visit of MG and PG to the Universidad de Santiago de Chile (partially supported by FONDECYT grant 1111042). The work of the second author was partially supported by the European Union in the framework of European Social Fund through the Warsaw University of Technology Development Program. Special thanks are due to Campanario Sour for having created special feelings of collaboration on this topic. Both authors want to thank the referees for their careful reading of the paper and remarks which helped make the paper better.

Agradecimiento

The authors wish to thank Daniel Pons for his collaboration in proving Lemma 2.1. Moreover, they wish to thank Enrique Reyes for his fruitful comments and suggestions. Some part of the research for this paper was performed during the visit of MG and PG to the Universidad de Santiago de Chile (partially supported by FONDECYT grant 1111042). The work of the second author was partially supported by the European Union in the framework of European Social Fund through the Warsaw University of Technology Development Program. Special thanks are due to Campanario Sour for having created special feelings of collaboration on this topic. Both authors want to thank the referees for their careful reading of the paper and remarks which helped make the paper better.