English

Minimizers of Convex Functionals Arising in Random Surfaces

Analysis of PDEs 2019-12-19 v1

Abstract

We investigate regularity of minimizers in two dimensions for certain classes of non-smooth convex functionals. 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

Keywords

Cite

@article{arxiv.0809.3816,
  title  = {Minimizers of Convex Functionals Arising in Random Surfaces},
  author = {Daniela De Silva and Ovidiu Savin},
  journal= {arXiv preprint arXiv:0809.3816},
  year   = {2019}
}

Comments

32 pages, 1 figure

R2 v1 2026-06-21T11:23:00.843Z