A monotonicity formula for anisotropic minimal hypersurfaces
Doanh Pham
TL;DR
This paper establishes a monotonicity formula for anisotropic minimal hypersurfaces in Euclidean space, assuming a sign condition on the Minkowski norm, which advances understanding of their geometric properties.
Contribution
It introduces a new monotonicity formula for anisotropic minimal hypersurfaces under specific sign assumptions on the Minkowski norm.
Findings
Proves a monotonicity formula for anisotropic minimal hypersurfaces.
Provides geometric insights under sign assumptions on the Minkowski norm.
Abstract
Under a sign assumption on the Minkowski norm, we prove a monotonicity formula for anisotropic minimal hypersurfaces in Euclidean space.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Point processes and geometric inequalities