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arXiv · 1810.07262

Equivalence of the ellipticity conditions for geometric variational problems

Antonio De Rosa·Sławomir Kolasiński
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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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Antonio De Rosa, Sławomir Kolasiński. 2020-02-06. Equivalence of the ellipticity conditions for geometric variational problems. https://doi.org/10.1002/cpa.21890

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