Isoperimetric cones and minimal solutions of partial overdetermined problems
Pacella, Filomena (Sapienza Università di Roma. Dipartimento di Matematica)
Tralli, Giulio (Università di Padova. Dipartimento d'Ingegneria Civile e Ambientale (DICEA))

Date:	2021
Abstract:	In this paper we consider a partial overdetermined mixed boundary value problem in domains inside a cone as in [18]. We show that, in cones having an isoperimetric property, the only domains which admit a solution and which minimize a torsional energy functional are spherical sectors centered at the vertex of the cone. We also show that cones close in the C1,1 -metric to an isoperimetric one are also isoperimetric, generalizing so a result of [1]. This is achieved by using a characterization of constant mean curvature polar graphs in cones which improves a result of [18].
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Isoperimetric cones ; Mixed boundary value problems ; Constant mean curvature polar graphs ; Torsional rigidity problems
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 61-81 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/383647
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT6512102
DOI: 10.5565/PUBLMAT6512102
DOI: 10.5565/publicacionsmatematiques.v65i1.383647

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