Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778547 | Advances in Mathematics | 2017 | 38 Pages |
Abstract
The proofs we present here are completely independent from those in [1], and do not rely on any monotonicity formula. Furthermore, an interesting and novel feature of our proofs is that we establish the regularity of the free boundary without classifying blow-ups, a priori they could be non-homogeneous and/or non-unique. We do not classify blow-ups but only prove that they are 1D on {xn=0}.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Xavier Ros-Oton, Joaquim Serra,