Optimal regularity and nondegeneracy for minimizers of an energy related to the fractional Laplacian

Optimal regularity and nondegeneracy for minimizers of an energy related to the fractional Laplacian

We study the optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian through the extension technique of Caffarelli and Silvestre. Specifically, we show that minimizers of the energy [mathematical equation] where [mathematical equations] with 0 < [gamma]...

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Bibliographic Details
Main Author: Yang, Ray
Format: Others
Language:English
Published: 2011
Subjects:
Free boundary
Optimal regularity
Fractional Laplacian
Online Access:http://hdl.handle.net/2152/ETD-UT-2011-08-3926

Internet

http://hdl.handle.net/2152/ETD-UT-2011-08-3926

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