Regularity in a one-phase free boundary problem for the fractional Laplacian
De Silva, Daniela · Roquejoffre, Jean-Michel
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.