Equations de Monge-Ampère complexes paraboliques

Finally, using our variational characterization we prove the existence, uniqueness and convergence as k → ∞ of k-balanced metrics in the sense of Donaldson both in the

When α is a K¨ ahler class, the positive currents T ∈α with minimal singularities are exactly those with locally bounded potentials.. When α is merely big, all positive currents T

Theorem C remains valid in a pseudoconvex domain, provided that there exists a solution to the homogeneous Dirichlet problem for the Monge-Amp~re equation with the

The latter condition together with effectiveness of co allows us to consider o as a differential form on T* M and the classification problem of Monge-Ampere operators given by

We show that if a positive Radon measure is suitably dominated by the Monge-Amp`ere capacity, then it belongs to the range of the Monge-Amp`ere op- erator on some class E χ ( X,

Fully nonlinear equations arise naturally in differential geometry when studying equations of prescribed curvature, for example of hypersurfaces in Euclidean space or

Fefferman showed how his approximate solution Q could be used to con- struct scalar invariants of strictly pseudoconvex hypersurfaces and applied.. these results to the

Neilan, Vanishing moment method and moment solutions for second order fully nonlinear partial differential equations.. Neilan, Mixed finite element methods for the fully