Symmetrization with respect to the anisotropic perimeter and applications
Analysis of PDEs
2014-10-03 v1
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.
Keywords
Cite
@article{arxiv.1410.0504,
title = {Symmetrization with respect to the anisotropic perimeter and applications},
author = {Francesco Della Pietra and Nunzia Gavitone},
journal= {arXiv preprint arXiv:1410.0504},
year = {2014}
}