Calculus of Variations and Geometric Measure Theory

D. Campbell - S. Hencl - A. Kauranen - E. Radici

Strict limits of planar BV homeomorphisms

created by radici on 23 Feb 2018
modified on 19 Oct 2020


Published Paper

Inserted: 23 feb 2018
Last Updated: 19 oct 2020

Journal: Nonlinear Analysis
Year: 2018


We introduce a new class of planar mappings that allows for cavitations and fractures. The class is the set of strict limits of planar BV homeomorphisms. Each mapping from this class has a proper pointwise representative which is a multifunction, we show that it maps disjoint sets to essentially disjoint sets and that they have an inverse as a proper multifunction. We also characterize and study cavities and fractures of these mappings.