Regularity properties of nonlocal minimal surfaces via limiting arguments-Reference-Cited by-同舟云学术

Regularity properties of nonlocal minimal surfaces via limiting arguments

Published:2013-11 Issue: Volume:248 Page:843-871
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Caffarelli Luis,Valdinoci Enrico

Publisher

Elsevier BV

Subject

General Mathematics

Reference14 articles.

1. A notion of nonlocal curvature;Abatangelo;Numer. Funct. Anal. Optim.,2013

2. Gamma-convergence of nonlocal perimeter functionals;Ambrosio;Manuscripta Math.,2010

3. Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces;Barrios;Ann. Sc. Norm. Super. Pisa Cl. Sci.,2013

4. Fully Nonlinear Elliptic Equations;Caffarelli,1995

5. An elementary regularity theory of minimal surfaces;Caffarelli;Differential Integral Equations,1993

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