A Strong Form of the Quantitative Wulff Inequality

DOI10.1137/15M1013675zbMath1337.49077arXiv1503.06705MaRDI QIDQ2806196

Robin Neumayer

Publication date: 17 May 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06705

zbMATH Keywords

stabilityisoperimetric problemsWulff inequalityanisotropic surface energies

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (14)

Anisotropic liquid drop models ⋮ The Stability of the Isoperimetric Inequality ⋮ A Steiner inequality for the anisotropic perimeter ⋮ The quantitative isoperimetric inequality and related topics ⋮ Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Stability in shape optimization with second variation ⋮ A nonlocal isoperimetric problem with density perimeter ⋮ Minimality of polytopes in a nonlocal anisotropic isoperimetric problem ⋮ Minimizers of anisotropic perimeters with cylindrical norms ⋮ A note on strong-form stability for the Sobolev inequality ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ Absence of bubbling phenomena for non-convex anisotropic nearly umbilical and quasi-Einstein hypersurfaces ⋮ Quantitative stability for anisotropic nearly umbilical hypersurfaces ⋮ On minimizers of an anisotropic liquid drop model

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