In this paper we introduce new symmetrization with respect to mixed volumes or anisotropic curvature integral, which generalizes the one with respect to quermassintegral due to Talenti and Tso. We show that such symmetrization diminishes the anisotropic Hessian integral. Moreover, we use it to show several other applications about anisotropic Hessian operators
Symmetrization with respect to mixed volumes / DELLA PIETRA, Francesco; Gavitone, Nunzia; Xia, Chao. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 388:(2021). [10.1016/j.aim.2021.107887]
Symmetrization with respect to mixed volumes
Della Pietra Francesco;Gavitone Nunzia;Xia Chao
2021
Abstract
In this paper we introduce new symmetrization with respect to mixed volumes or anisotropic curvature integral, which generalizes the one with respect to quermassintegral due to Talenti and Tso. We show that such symmetrization diminishes the anisotropic Hessian integral. Moreover, we use it to show several other applications about anisotropic Hessian operatorsFile in questo prodotto:
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