Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604392 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2012 | 33 Pages |
Abstract
For a one-phase free boundary problem involving a fractional Laplacian, we prove that “flat free boundaries” are C1,α. We recover the regularity results of Caffarelli for viscosity solutions of the classical Bernoulli-type free boundary problem with the standard Laplacian.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis