output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2011 · math.CVShow all

6 papers · 2 filters

math.CV2011★ 4 cited

On hyperbolicity and tautness modulo an analytic subset of Hartogs domains

Do Duc Thai, Pascal J. Thomas, Nguyen Van Trao +1

Let be a complex space and a positive homogeneous plurisubharmonic function on $X\times\C^m$. Consider the Hartogs-type domain $Ω_{H}(X):=\{(z,w)\in X\times \C^m:H(z,w)…

math.CV2011★ 75 cited

Hölder continuous solutions to Monge-Ampère equations

Jean-Pierre Demailly, Slawomir Dinew, Vincent Guedj +3

Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same…

math.CV2011★ 16 cited

Kähler-Einstein fillings

Vincent Guedj, Boris Kolev, Nader Yeganefar

We show that on an open bounded smooth strongly pseudoconvex subset of $\CC^{n}$, there exists a Kähler-Einstein metric with positive Einstein constant, such that the metric restri…

math.CV2011★ 1 cited

A characterization of domains in $\C^n$ with locally Levi-flat boundaries

Nikolai Nikolov, Pascal J. Thomas

A domain in $\C^n$ with Levi-flat boundary near a given point is characterized in terms of the boundary behavior of the Kobayashi or Bergman metrics, or of the Bergman kernel. Some…

math.CV2011★ 1 cited

The Bohr Radius for an Elliptic Condenser

Patrice Lassère, Emmanuel Mazzilli

We compute the exact value of the Bohr radius associated to an elliptic condenser of the complex plane and its Faber polynomial basis.

math.CV2011★ 9 cited

Limits of multipole pluricomplex Green functions

Jon I. Magnusson, Alexander Rashkovskii, Ragnar Sigurdsson +1

Let be a set of points in a bounded hyperconvex domain in , all tending to 0 as tends to 0. To each set we associate its vanishing ideal and the pluri…