A free boundary optimization problem for the $\infty$-Laplacian
Analysis of PDEs
2017-03-06 v1
Abstract
We study a free boundary optimization problem in heat conduction, ruled by the infinity-Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries.
Cite
@article{arxiv.1703.01157,
title = {A free boundary optimization problem for the $\infty$-Laplacian},
author = {Rafayel Teymurazyan and José Miguel Urbano},
journal= {arXiv preprint arXiv:1703.01157},
year = {2017}
}
Comments
19 pages