On Polyconvexity and Almgren Uniform Ellipticity With Respect to Polyhedral Test Pairs

Prelegent(ci)

Maciej Leśniak

Język referatu

angielski

Termin

7 maja 2025 12:30

Pokój

p. 3170

Seminarium

Seminarium Zakładu Równań i Analizy

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The ellipticity of an anisotropic energy functional is a property that
ensures a flat k-cube is the unique minimizer of the functional among all
competitors with the same (k-1)-dimensional boundary as the cube. There is
a strong relation between the ellipticity of a functional and the
(poly)convexity of its integrand, which has been investigated by
Burago-Ivanov, and recently by De Rosa, Lei, and Young. In this talk, we
extend a recent result by De Rosa, Lei, and Young and show that the uniform
ellipticity of an anisotropic energy functional with respect to polyhedral
chains implies the uniform polyconvexity of the integrand.
 

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