A minimum problem with free boundary for a degenerate quasilinear operator

Donatella Danielli; Arshak Petrosyan

doi:10.1007/s00526-004-0294-5

A minimum problem with free boundary for a degenerate quasilinear operator

Donatella Danielli, Arshak Petrosyan

Research output: Contribution to journal › Article › peer-review

60 Scopus citations

Abstract

In this paper we prove ^C1,α regularity (near flat points) of the free boundary ∂{u > 0}\∩Ω in the Alt-Caffarelli type minimum problem for the p-Laplace operator: J(u)= ∫_Ω(|∇ u|^p +λ^pχ{u> 0})dx → min (1<p<\∞).

Original language	English (US)
Pages (from-to)	97-124
Number of pages	28
Journal	Calculus of Variations and Partial Differential Equations
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/s00526-004-0294-5
State	Published - May 2005
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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A minimum problem with free boundary for a degenerate quasilinear operator

Abstract

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