Flat Level Set Regularity of p-Laplace Phase Transitions
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. Les mer
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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.
Detaljer
- Forlag
- American Mathematical Society
- Innbinding
- Paperback
- Språk
- Engelsk
- ISBN
- 9780821839102
- Utgivelsesår
- 2006
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