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Boundary regularity for anisotropic minimal Lipschitz graphs

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Author(s):
De Rosa, Antonio ; Resende, Reinaldo
Total Authors: 2
Document type: Journal article
Source: Communications in Partial Differential Equations; v. 49, n. 1-2, p. 23-pg., 2023-12-20.
Abstract

We prove that m-dimensional Lipschitz graphs in any codimension with C-1,C-alpha boundary and anisotropic mean curvature bounded in L-p, p > m, are regular at every boundary point with density bounded above by 1/2 + sigma, provided the anisotropic energy satisfies the uniform scalar atomic condition. (AU)

FAPESP's process: 21/05256-0 - Geometric variational problems: existence, regularity and geometrical characterization of the solutions
Grantee:Stefano Nardulli
Support Opportunities: Research Grants - Young Investigators Grants