Calculus of Variations and Geometric Measure Theory

F. Della Pietra - N. Gavitone

Symmetrization with respect to the anisotropic perimeter and applications

created by francesco on 18 Oct 2026

[BibTeX]

preprint

Inserted: 18 oct 2026

Year: 2014

ArXiv: 1410.0504 PDF

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.