On a Serrin-type overdetermined problem
Analysis of PDEs
2024-10-10 v1
Abstract
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.
Cite
@article{arxiv.2402.09817,
title = {On a Serrin-type overdetermined problem},
author = {Antonio Celentano and Carlo Nitsch and Cristina Trombetti},
journal= {arXiv preprint arXiv:2402.09817},
year = {2024}
}