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Regularity of Lipsc...
Abstract
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- In this paper we study the regularity of the free boundary in a general two-phase free boundary problem for the p-Laplace operator and we prove, in particular, that Lipschitz free boundaries are C(1,gamma)-smooth for some gamma is an element of (0, 1). As part of our argument, and which is of independent interest, we establish a Hopf boundary type principle for non-negative p-harmonic functions vanishing on a portion of the boundary of a Lipschitz domain.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- p-Harmonic function
- Free boundary
- Two-phase
- Boundary Harnack inequality
- Hopf boundary principle
- p-Subharmonic
- Subsolution
- Lipschitz domain
- Regularity
Publication and Content Type
- ref (subject category)
- art (subject category)
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