2 papers
math.DG2026
Sharp thresholds for the Escobar functional: the Escobar-Willmore mass, geometric selection, and compactness trichotomy
Mayukh Mukherjee, Utsab Sarkar
We study the hemisphere threshold for the conformally covariant Escobar functional on compact Riemannian manifolds with boundary. The near-threshold landscape is organize…
math.AP2025
On the sharp multi-bubble stability for fractional Hardy-Sobolev equations -- A quantitative approach in low dimensions
Souptik Chakraborty, Utsab Sarkar
We establish sharp quantitative multi-bubble stability for non-sign-changing critical points of the fractional Hardy-Sobolev inequality in the low-dimensional regime .…