TITLE

Two-phase semilinear free boundary problem with a degenerate phase

AUTHOR(S)
Matevosyan, Norayr; Petrosyan, Arshak
PUB. DATE
July 2011
SOURCE
Calculus of Variations & Partial Differential Equations;Jul2011, Vol. 41 Issue 3/4, p397
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study minimizers of the energy functional for $${p\in (0,1)}$$ without any sign restriction on the function u. The distinguished feature of the problem is the lack of nondegeneracy in the negative phase. The main result states that in dimension two the free boundaries $${\Gamma^+=\partial\{u>0\}\cap D}$$ and $${\Gamma^-=\partial\{u<0\}\cap D}$$ are C-regular, provided $${1-\epsilon_0
ACCESSION #
60644139

 

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