Variational methods and applications
timetable:
Mon 6 Sep, 17:00 - 17:50,
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Multilinear Kakeya and Michael-Simon inequality for anisotropic stationary varifolds - (online)
speaker: Guido De Philippis (SISSA, Trieste e New York University)abstract: Michael Simon inequality ( is a fundamental tool in geometric analysis and geometric measure theory. Its extension to anisotropic integrands will allow to extend to anisotropic integrands a series of results which are currently known only for the area functional.
In this talk I will present an anistropic version of the Michael-Simon inequality, for for two-dimensional varifolds in R3, provided that the integrand is close to the area in the C1-topology. The proof is deeply inspired by posthumous notes by Almgren, devoted to the same result. Although our arguments overlap with Almgren’s, some parts are greatly simplified and rely on a nonlinear version of the planar multilinear Kakaeya inequality.
timetable:
Mon 6 Sep, 17:00 - 17:50,
<< Go back