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Minimizers of convex functionals arising in random surfaces
Daniela De Silva and Ovidiu Savin
Source: Duke Math. J. Volume 151, Number 3
(2010), 487-532.
Abstract
We investigate $C^1$-regularity of minimizers to $\int F(\nabla u)dx$ in two dimensions for certain classes of nonsmooth convex functionals $F$. In particular, our results apply to the surface tensions that appear in recent works on random surfaces and random tilings of Kenyon, Okounkov, and others
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1265637660
Digital Object Identifier: doi:10.1215/00127094-2010-004
Zentralblatt MATH identifier: 05688246
Mathematical Reviews number (MathSciNet): MR2605868
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