Calculus of Variations and Geometric Measure Theory
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A. De Rosa - S. KolasiƄski

Equivalence of the ellipticity conditions for geometric variational problems

created by derosa on 18 Oct 2018

[BibTeX]

Preprint

Inserted: 18 oct 2018
Last Updated: 18 oct 2018

Year: 2018

ArXiv: 1810.07262 PDF
Links: arxiv

Abstract:

We exploit the so called atomic condition, recently defined by De Philippis, De Rosa, and Ghiraldin in (Comm. Pure Appl. Math.) and proved to be necessary and sufficient for the validity of the anisotropic counterpart of the Allard rectifiability theorem. In particular, we address an open question of this seminal work, showing that the atomic condition implies the strict Almgren geometric ellipticity condition.


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