Caccioppoli set (source code)

= Caccioppoli set
{wiki=Caccioppoli_set}

A Caccioppoli set is a concept from the field of geometric measure theory, particularly in the study of sets of finite perimeter and variational problems. Named after the Italian mathematician Renato Caccioppoli, this concept plays a crucial role in the regularity theory of solutions to variational problems, such as those arising in the calculus of variations and partial differential equations.