127 citations · 252 across the 31 of their papers we have counts for
33 papers
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 fo…
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…
Resonances and Eigenvalues for the Constant Mean Curvature Equation
Sagun Chanillo
In this paper we study resonances and eigenvalues for the nonlinear constant mean curvature eqn. linearized around the bubbles found by Brezis-Coron. This nonlinear eqn. is also ca…
Local version of Courant's nodal domain theorem
S. Chanillo, A. Logunov, E. Malinnikova +1
Let be a closed Riemannian manifold, where g is -smooth metric. Consider the sequence of eigenfunctions of the Laplace operator on M. Let be a ball on .…
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…
Estimates of the amplitude of holonomies by the curvature of a connection on a bundle
Sagun Chanillo, Jean Van Schaftingen
We show how the amplitude of holonomies on a vector bundle can be controlled by the integral of the curvature of the connection on a surface enclosed by the curve.