On the Dirichlet problem for degenerate Monge-Amp re equations

BAKEL’MAN, The Dirichlet problem for the elliptic n-dimensional Monge-Ampère equations and related problems in the theory of quasilinear equations, Proceedings. of

SPRUCK, The Dirichlet problem for nonlinear second order elliptic equations, I: Monge-Ampère equations, Comm. Lincei,

SAFONOV, Uniprovability of estimates of Holder constants for solutions of linear elliptic equations with measurable coefficients, Math. SAFONOV, On a weak uniqueness for

L’accès aux archives de la revue « Rendiconti del Seminario Matematico della Università di Padova » ( http://rendiconti.math.unipd.it/ ) implique l’accord avec les

We study compactness and uniform convergence in the class of solutions to the Dirichlet problem for the Monge-Amp` ere equation, using some equiconti- nuity tools.. AMS 2000

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

By replacement of r by r for constant e>0, it suffices to obtain second derivative estimates for solutions that are independent of inf r As in the non-degenerate