Flat Level Set Regularity Of P Laplace Phase Transitions
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Flat Level Set Regularity of P-Laplace Phase Transitions
Author: Enrico Valdinoci
language: en
Publisher: American Mathematical Society(RI)
Release Date: 2014-09-11
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.
Flat Level Set Regularity of $p$-Laplace Phase Transitions
Author: Enrico Valdinoci
language: en
Publisher: American Mathematical Soc.
Release Date: 2006
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.
Handbook of Differential Equations: Stationary Partial Differential Equations
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