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Isoperimetric inequalities and Dirichlet functions of Riemann surfaces
Rodríguez, José M.

Date: 1994
Abstract: We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condition of regularity, then there exists a non- constant armonic function with finite Dirichlet integral in the surface. We prove too, by an example, that the implication is not true without the condition of regularity.
Rights: Tots els drets reservats.
Language: Anglès
Document: Article ; recerca ; Versió publicada
Published in: Publicacions matemàtiques, Vol. 38, Núm. 1 (1994) , p. 243-253, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37804
DOI: 10.5565/PUBLMAT_38194_19


11 p, 1.9 MB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2010-07-28, last modified 2022-09-10



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