Calculus of Variations and Geometric Measure Theory
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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 08 Jul 2015

[BibTeX]

Accepted paper

Inserted: 16 dec 2013
Last Updated: 8 jul 2015

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

Abstract:

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.


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