Wulff shape characterizations in overdetermined anisotropic elliptic problems
Chiara Bianchini, Giulio Ciraolo · Communications in Partial Differential Equations · 2018
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.