Wulff shape characterizations in overdetermined anisotropic elliptic problems
Analysis of PDEs
2017-03-22 v1
Abstract
We study some overdetermined problems for possibly anisotropic degenerate elliptic PDEs, including the well-known Serrin's overdetermined problem, and we prove the corresponding Wulff shape characterizations by using some integral identities and just one pointwise inequality. Our techniques provide a somehow unified approach to this variety of problems.
Cite
@article{arxiv.1703.07111,
title = {Wulff shape characterizations in overdetermined anisotropic elliptic problems},
author = {Chiara Bianchini and Giulio Ciraolo},
journal= {arXiv preprint arXiv:1703.07111},
year = {2017}
}