Journal of Function Spaces (Jan 2022)

A Steiner Inequality for the Anisotropic Perimeter

  • Jin Dai

DOI
https://doi.org/10.1155/2022/2989121
Journal volume & issue
Vol. 2022

Abstract

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In this paper, we prove the monotonicity of the anisotropic perimeter of sets of finite perimeter under Steiner symmetrization by a variational formula of volume and an inequality for the anisotropic lower outer Minkowski content. As a consequence, we give a more direct proof of the Wulff inequality by Steiner symmetrization.