21 citations · 21 across the 5 of their papers we have counts for
7 papers
On the Tangential Traces of Curl-Measure Fields
Cian Nolan, Monica Torres
Curl-measure fields are -integrable vector fields whose distributional curl is a vector-valued Radon measure with finite total variation. They were introduced in arXiv:2509.2646…
Divergence-Measure Fields: Gauss-Green Formulas and Normal Traces
Gui-Qiang G. Chen, Monica Torres
The classical Gauss-Green formula for the multidimensional case is generally stated for vector fields and domains with boundaries. However, motivated by the physica…
Traces and Extensions of Bounded Divergence-Measure Fields on Rough Open Sets
Gui-Qiang G. Chen, Qinfeng Li, Monica Torres
We prove that an open set can be approximated by smooth sets of uniformly bounded perimeter from the interior if and only if the open set satisfies \beg…
Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets
Gui-Qiang G. Chen, Giovanni E. Comi, Monica Torres
We establish the interior and exterior Gauss-Green formulas for divergence-measure fields in over general open sets, motivated by the rigorous mathematical formulation of the…
[Regularity of interfaces for a Pucci type segregation problem
Luis Caffarelli, Stefania Patrizi, Veronica Quitalo +1
We show the existence of a Lipschitz viscosity solution in to a system of fully nonlinear equations involving Pucci-type operators. We study the regularity of the interface…
Characterizations of signed measures in the dual of and related isometric isomorphisms
Nguyen Cong Phuc, Monica Torres
We characterize all (signed) measures in , where is defined as the space of all functions in $L^{\frac{n}…