These notes record the lectures for the CIME Summer Course held by the second author in Cetraro during the week of July 4–8, 2016. The goal is to give an overview of some classical results for minimal surfaces, and describe recent developments in the nonlocal setting.
Regularity theory for local and nonlocal minimal surfaces: An overview / M. Cozzi, A. Figalli (LECTURE NOTES IN MATHEMATICS). - In: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions / [a cura di] J.A. Carrillo, M. del Pino, A. Figalli, G. Mingione, J.L. Vázquez. - [s.l] : Springer Verlag, 2017. - ISBN 9783319614939. - pp. 117-158 (( convegno International Conference on Nonlocal and nonlinear diffusions and interactions: New methods and directions tenutosi a Cetraro nel 2016 [10.1007/978-3-319-61494-6_3].
Regularity theory for local and nonlocal minimal surfaces: An overview
M. Cozzi
Primo
;
2017
Abstract
These notes record the lectures for the CIME Summer Course held by the second author in Cetraro during the week of July 4–8, 2016. The goal is to give an overview of some classical results for minimal surfaces, and describe recent developments in the nonlocal setting.
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Cozzi, Figalli - Regularity theory for local and nonlocal minimal surfaces. An overview.pdf
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