On a Serrin-type overdetermined problem

Fuente: arXiv
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Autores principales: Celentano, Antonio, Nitsch, Carlo, Trombetti, Cristina
Formato: Preprint
Publicado: 2024
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author Celentano, Antonio
Nitsch, Carlo
Trombetti, Cristina
author_facet Celentano, Antonio
Nitsch, Carlo
Trombetti, Cristina
contents In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and a generalized Neumann conditions. With this tool, we characterize the critical shapes under volume constraint of some domain functionals.
format Preprint
id arxiv_https___arxiv_org_abs_2402_09817
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On a Serrin-type overdetermined problem
Celentano, Antonio
Nitsch, Carlo
Trombetti, Cristina
Analysis of PDEs
35B06, 35J57, 35N25
In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and a generalized Neumann conditions. With this tool, we characterize the critical shapes under volume constraint of some domain functionals.
title On a Serrin-type overdetermined problem
topic Analysis of PDEs
35B06, 35J57, 35N25
url https://arxiv.org/abs/2402.09817