An overdetermined problem with non constant boundary condition
Analysis of PDEs
2014-06-26 v1
Abstract
We investigate an overdetermined Torsion problem, with a non-constant positively homogeneous boundary constraint on the gradient. We interpret this problem as the Euler equation of a shape optimization problems, we prove existence and regularity of a solution. Moreover several geometric properties of the solution are shown.
Cite
@article{arxiv.1302.4620,
title = {An overdetermined problem with non constant boundary condition},
author = {Chiara Bianchini and Antoine Henrot and Paolo Salani},
journal= {arXiv preprint arXiv:1302.4620},
year = {2014}
}