publication . Preprint . Article . 2012

Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

Barrios, B.; Alessio Figalli; Valdinoci, E.;
Open Access English
  • Published: 21 Feb 2012
We prove that $C^{1,\alpha}$ $s$-minimal surfaces are automatically $C^\infty$. For this, we develop a new bootstrap regularity theory for solutions of integro-differential equations of very general type, which we believe is of independent interest.
free text keywords: Mathematics - Analysis of PDEs
Related Organizations
Funded by
Elliptic Pdes and Symmetry of Interfaces and Layers for Odd Nonlinearities
  • Funder: European Commission (EC)
  • Project Code: 277749
  • Funding stream: FP7 | SP2 | ERC
NSF| Analytical and geometrical problems in calculus of variations and partial differential equations
  • Funder: National Science Foundation (NSF)
  • Project Code: 0969962
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
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