Showing math.APShow all
2 papers · 1 filter
math.AP2026
Gagliardo--Nirenberg extremals on manifolds with small holes
Mayukh Mukherjee, Utsab Sarkar
We study the sharp homogeneous Dirichlet Gagliardo--Nirenberg quotient on a closed Riemannian manifold with holes of small capacity and connected complements. For each fixed expone…
math.AP2026
Wavelength-scale optional stopping, critical Feynman-Kac gauges, and capacitary spectral inequalities
Mayukh Mukherjee
We develop two Brownian stopping methods: one uses hitting probabilities and capacity, the other moments of weighted exit distributions. On a closed -dimensional Riemannian mani…