Minimizers of convex functionals arising in random surfaces

By D. Silva, Ovidiu Savin. 2008

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We investigate C1 regularity of minimizers to F (∇u)dx in two dimensions for certain classes of non-smooth 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/58ec9287261b8a550a05a4b0301c235fea2e7a98