Calculus of Variations and Geometric Measure Theory

S. Almi - E. Tasso

A general criterion for jump set slicing and applications

created by tasso on 03 Feb 2023


Submitted Paper

Inserted: 3 feb 2023

Year: 2023

ArXiv: 2212.09822 PDF


In this paper a novel criterion for the slicing of the jump set of a function is provided, which bypasses the codimension-one and the parallelogram law techniques developed in BD-spaces. The approach builds upon a recent rectifiability result of integralgeometric measures and is further applied to the study of the structure of the jump set of functions with generalized bounded deformation in a Riemannian setting.