Rectifiability of the free boundary for varifolds

DOI10.1512/iumj.2021.70.9401zbMath1494.49029arXiv2010.08723OpenAlexW4206475615MaRDI QIDQ5025428

Luigi de Masi

Publication date: 2 February 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.08723

zbMATH Keywords

Hausdorff dimensionfree boundaryrectifiabilityvarifoldsdensity setmonotonicity formula

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (1)

Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow

Cites Work

• On the first variation of a varifold: Boundary behavior
• Rectifiable sets, densities and tangent measures
• On the first variation of a varifold
• Stratification of minimal surfaces, mean curvature flows, and harmonic maps.
• Rectifiability of Varifolds with Locally Bounded First Variation with Respect to Anisotropic Surface Energies
• Some applications of the isoperimetric inequality for integral varifolds
• Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions
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