Symmetrization with respect to the anisotropic perimeter and applications

2014/10/02 by Francesco Della Pietra, Della Pietra, Francesco, Nunzia Gavitone +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1410.0504

arxiv created 2014/10/02 · openalex publication_date 2014/10/02 · arxiv updated 2014/10/03 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a new type of symmetrization, which preserves the anisotropic perimeter of the level sets of a suitable concave smooth function, in order to prove sharp comparison results for solutions of a class of homogeneous Dirichlet fully nonlinear elliptic problems of second order and for suitable anisotropic Hessian integrals.

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