A two-phase problem with Robin conditions on the free boundary
Analysis of PDEs
2020-10-20 v2
Abstract
We study for the first time a two-phase free boundary problem in which the solution satisfies a Robin boundary condition. We consider the case in which the solution is continuous across the free boundary and we prove an existence and a regularity result for minimizers of the associated variational problem. Finally, in the appendix, we give an example of a class of Steiner symmetric minimizers.
Cite
@article{arxiv.2003.14139,
title = {A two-phase problem with Robin conditions on the free boundary},
author = {Serena Guarino Lo Bianco and Domenico Angelo La Manna and Bozhidar Velichkov},
journal= {arXiv preprint arXiv:2003.14139},
year = {2020}
}