5177980

9780821839102

Flat Level Set Regularity of P-laplace Phase Transitions

Flat Level Set Regularity of P-laplace Phase Transitions
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  • ISBN-13: 9780821839102
  • ISBN: 0821839101
  • Publication Date: 2006
  • Publisher: American Mathematical Society

AUTHOR

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

SUMMARY

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.Valdinoci, Enrico is the author of 'Flat Level Set Regularity of P-laplace Phase Transitions ', published 2006 under ISBN 9780821839102 and ISBN 0821839101.

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