Some regularity results in geometric measure theory
Reinaldo Resende de Oliveira · 2023
Since the topics of these works are substantially different, we will present this PhD thesis as a composition of some regularity theorems in geometric measure theory.Specifically, this thesis is an exposition of the results in [NR22], [Res23] and [RR23].Such papers are unlike in nature, considerably different techniques and theories are used in each of them, however they share the same goal: proving regularity for measure-theoretic objects solving variational problems.