Flat Level Set Regularity of p-Laplace Phase Transitions
Enrico Valdinoci author Berardino Sciunzi author Vasile Ovidiu Savin author
Format:Paperback
Publisher:American Mathematical Society
Published:30th Jun '06
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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.
ISBN: 9780821839102
Dimensions: unknown
Weight: 312g
144 pages
illustrated Edition