Year: 2026
Type: preprint
Abstract: We consider $m$-dimensional currents in $\mathbb{R}^{m+1}$ that almost minimize an anisotropic energy whose integrand is continuous in the space variable and $C^{2,{\rm Dini}}$ in the normal variable. We prove that if the boundary of such a current is differentiable, then the current admits a flat blowup at every boundary point.
Source: arXiv (Cornell University)
Authors: Novack, Michael, Resende, Reinaldo
Institutions: Florida State University, The University of Texas at Austin
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7213563867