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arXiv:1101.2601 [math.AP]AbstractReferencesReviewsResources

Optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian

Ray Yang

Published 2011-01-13, updated 2013-02-07Version 2

We discuss the optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian. This work is related to, but addresses a different problem from, recent work of Caffarelli, Roquejoffre, and Sire. A variant of the boundary Harnack inequality is also proved, where it is no longer required that the function be 0 along the boundary.

Comments: Updated draft - certain changes suggested by referee in presentation, typos and some errors corrected, main results unchanged
Categories: math.AP
Subjects: 35R35
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