Stability of Bounded Solutions for Degenerate Complex Monge-Ampère equations

Abstract

We generalize and strenghten Kołodziej's stability theorem. In particular we give sharp stability exponent and treat the case with more singular right hand side of the Monge-Ampère equation.

23 pages, Reason for replacement: a new section is added

References in corpus (1)

• An Inequality for Mixed Monge-Ampère measures

Cited by in corpus (6)

• Limits of Calabi-Yau metrics when the Kahler class degenerates
• The Kahler-Ricci flow through singularities
• Holder continuity of solutions to the complex Monge-Ampere equations on compact Kahler manifolds
• Canonical measures and Kahler-Ricci flow
• Extension of plurisubharmonic functions with growth control
• On the Convergence of a Modified Kaehler-Ricci flow