The equation of complex Monge-Ampère type and stability of solutions

By U. Cegrell, S. Kołodziej. 2006

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We prove that in a family of plurisubharmonic functions with Monge-Ampère measures bounded from above by such a measure of one function weak convergence is equivalent to convergence in capacity. We also show a very general statement on the existence of solutions of the complex Monge-Ampère type equation.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6f3ff5b80d6e393c4dfa871c8943fb8309175cdf