2 papers
math.AP2026
Solutions to Monge-Ampère Equations with Low Codimensional singularities
Arghya Rakshit, Aranya Sen
We construct solutions to Monge-Ampère equations whose Monge-Ampère measures contain singular components supported on low codimensional sets. We also study the regularity of such s…
math.AP2026
A global proof of the weak Harnack inequality for parabolic equations in non-divergence form
Aranya Sen
The weak Harnack inequality is a fundamental result in the theory of fully nonlinear parabolic partial differential equations. It has several important consequences such as the Höl…