Items related to Flat Level Set Regularity of $p$-Laplace Phase Transitions...

Flat Level Set Regularity of $p$-Laplace Phase Transitions (Memoirs of the American Mathematical Society) - Softcover

Valdinoci, Enrico; Sciunzi, Berardino; Savin, Vasile Ovidiu

 
9780821839102: Flat Level Set Regularity of $p$-Laplace Phase Transitions (Memoirs of the American Mathematical Society)
Softcover
ISBN 10: 0821839101 ISBN 13: 9780821839102
Publisher: American Mathematical Society, 2006

Synopsis

We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author for $p=2$ follows.

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Publisher
American Mathematical Society
Publication date
2006
Language
English
ISBN 10 
0821839101
ISBN 13 
9780821839102
Binding
Paperback
Number of pages
144