Calculus of Variations and Geometric Measure Theory

M. Marini - B. Ruffini

On a class of weighted Gauss-type isoperimetric inequalities and applications to symmetrization

created by ruffini on 16 Dec 2013
modified on 24 Mar 2021


Published Paper

Inserted: 16 dec 2013
Last Updated: 24 mar 2021

Journal: Rend. Sem. Mat. Univ. Padova
Pages: 14
Year: 2013


We solve a class of weighted isoperimetric problems of the form \[ \min \left\{ \int_{\partial E}we^V dx :\int_E e^V dx = {\rm constant} \right\} \] where w and V are suitable functions on $R^N$. As a consequence, we prove a comparison result for the solutions of degenerate elliptic equations.