Wulff shape characterizations in overdetermined anisotropic elliptic problems

By C. Bianchini, Giulio Ciraolo. 2017

65 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/5047a28355ec2a731c42d059f959c6ad7f050af1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alessio Figalli
2. Giulio Ciraolo
3. A. Roncoroni
4. Guido De Philippis
5. Max Fathi
6. Dario Trevisan
7. Robert J. McCann
8. N. Fusco

In Computational Mechanics

1. Giulio Ciraolo
2. Alessio Figalli

In Computational Theory and Mathematics

1. Giulio Ciraolo
2. A. Roncoroni
3. Alessio Figalli
4. N. Fusco
5. G. Peyr'e
6. Adrien Blanchet

Citations in the corpus

• Symmetry results for critical anisotropic p-Laplacian equations in convex cones (2019, background): “We start from the following differential identity (see [5]).”