3 papers
math.DG2025
The Singular CR Yamabe Problem and Hausdorff Dimension
Sagun Chanillo, Paul C. Yang
We consider a compact pseudo-hermitian manifold (M,θ, J), that is a manifold equipped with a contact form θand CR structure J. We consider a conformal deformation of the contact…
math.AP2025
Small Divisor problems and weights with an application
Sagun Chanillo
We establish a link between Muckenhoupt weights and a means to address small divisor problems. We use this link to obtain a quantitative version of the Ehrenpreis-Malgrange t…
math.AP2024
Sharp bounds on the Nusselt number in Rayleigh-Bénard convection and a bilinear estimate via Carleson measures
Sagun Chanillo, Andrea Malchiodi
We prove a conjecture in fluid dynamics concerning optimal bounds for heat transportation in the infinite Prandtl number limit. Due to a maximum principle property for the temperat…