The study of divergence‐measure fields has significantly advanced the analytical framework underpinning classical Gauss–Green theorems by extending their applicability to irregular settings.

In the context of Lebesgue integration, we derive the divergence theorem for unbounded vector fields that can have singularities at every point of a compact set whose Minkowski content of codimension ...

Annals of Mathematics, a distinguished journal of research papers in pure mathematics, was founded in 1884. Annals of Mathematics is published bimonthly with the cooperation of Princeton University ...