Flots de Monge-Ampère complexes sur les variétés hermitiennes compactes

Under natural assumptions on the Cauchy-Dirichlet boundary data, we show that the envelope of pluripo- tential subsolutions is semi-concave in time and continuous in space, and

(2009a,b) on the Euler and Navier–Stokes equations, and show how the geometric ap- proach to SG theory may be applied to the incompressible fluid equations in three dimensions:

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

The aim of this paper is the study of the following eigenvalue problem (e.v.p.) for the complex Monge-Ampère operator in an arbitrary bounded strictly pseudoconvex

DELANOË, Équations du type de Monge-Ampère sur les variétés Riemanniennes compactes, I. DELANOË, Équations du type de Monge-Ampère sur les variétés

For some compact subsets K ⊂ H −1 containing a rank-one connection, we show the rigidity property of K by imposing proper topology in the convergence of approximate solutions and

derivatives of such a function, defined pointwise as locally bounded functions, coincide with distributional derivatives (this follows from the fact that

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