Flat Level Set Regularity of P-laplace Phase Transitions (Memoirs of the American Mathematical Society) by Enrico Valdinoci (PDF)

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Ebook Info

  • Published: 2006
  • Number of pages: 144 pages
  • Format: PDF
  • File Size: 0.94 MB
  • Authors: Enrico Valdinoci

Description

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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