13 citations · 96 across the 34 of their papers we have counts for
32 papers · 1 filter
Rarity of solutions to the complex Monge--Ampère equation on weakly pseudoconvex domains
Gautam Bharali, Rumpa Masanta
We show that on any weakly pseudoconvex -regular domain, the classical Dirichlet problem for the complex Monge--Ampère equation with -smooth data does not in…
On some connections between Kobayashi geometry and pluripotential theory
Gautam Bharali, Rumpa Masanta
In this paper, we explore some connections between Kobayashi geometry and the Dirichlet problem for the complex Monge--Ampère equation. Among the results we obtain through these co…
Unbounded visibility domains: metric estimates and an application
Annapurna Banik, Gautam Bharali
We give an explicit lower bound, in terms of the distance from the boundary, for the Kobayashi metric of a certain class of bounded pseudoconvex domains in with $\ma…
Explicit universal bounds for squeezing functions of (-)convex domains
Gautam Bharali, Nikolai Nikolov
We prove two separate lower bounds -- one for nondegenerate convex domains and the other for nondegenerate -convex (but not necessarily convex) domains -- for the squee…
The squeezing function: exact computations, optimal estimates, and a new application
Gautam Bharali, Diganta Borah, Sushil Gorai
We present a new application of the squeezing function , using which one may detect when a given bounded pseudoconvex domain , , is not b…
Unbounded visibility domains, the end compactification, and applications
Gautam Bharali, Andrew Zimmer
In this paper we study when the Kobayashi distance on a Kobayashi hyperbolic domain has certain visibility properties, with a focus on unbounded domains. "Visibility" in this conte…