Calculus of Variations and Geometric Measure Theory

G. Piscitelli

Convex Symmetrization for Anisotropic Elliptic Equations with a lower order term

created by piscitelli on 31 Aug 2022
modified on 11 Sep 2022



Inserted: 31 aug 2022
Last Updated: 11 sep 2022

Year: 2020

ArXiv: 2008.03754 PDF


We use "generalized" version of total variation, coarea formulas, isoperimetric inequalities to obtain sharp estimates for solutions (and for their gradients) to anisotropic elliptic equations with a lower order term, comparing them with the solutions to the convex symmetrized ones.