Regularity of nonlocal minimal cones in dimension 2

Calculus of Variations and Partial Differential Equations

Volumn 48, Issue 1-2, 2013, Pages 33-39

  Savin, Ovidiu ^a   Valdinoci, Enrico ^b  

^a Och Spine at New York Presbyterian Hospitals   (United States)

^b UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84881611836     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-012-0539-7     Document Type: Article

References (8)

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2. Barrios Barrera, B., Figalli, A., Valdinoci, E.: Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces, Preprint, http://arxiv. org/abs/1202. 4606.
3. Caffarelli L. A., Roquejoffre J.-M., Savin O.: Nonlocal minimal surfaces. Comm. Pure Appl. Math. 63(9), 1111-1144 (2011).
4. Caffarelli L. A., Silvestre L.: An extension problem related to the fractional Laplacian. Comm. Partial Differ. Equ. 32(7-9), 1245-1260 (2007).
5. Caffarelli L. A., Valdinoci E.: Uniform estimates and limiting arguments for nonlocal minimal surfaces. Calc. Var. Partial Differ. Equ. 41(1-2), 203-240 (2011).
6. Caffarelli, L. A., Valdinoci, E.: Regularity properties of nonlocal minimal surfaces via limiting arguments, Preprint, http://www. ma. utexas. edu/mp_arc/c/11/11-69. pdf.
7. Caputo, M. C., Guillen, N.: Regularity for non-local almost minimal boundaries and applications, Preprint, http://arxiv. org/abs/1003. 2470.
8. Maggi F.: Sets of finite perimeter and geometric variational problems. An introduction to geometric measure theory. Cambridge University Press, Cambridge (2012).