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Hölder continuous potentials on manifolds with partially positive curvature
Published online by Cambridge University Press: 16 April 2010
Abstract
It is proved that solutions of the complex Monge–Ampère equation on compact Kähler manifolds with right hand side in Lp, p > 1, are uniformly Hölder continuous under the assumption on non-negative orthogonal bisectional curvature.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 9 , Issue 4 , October 2010 , pp. 705 - 718
- Copyright
- Copyright © Cambridge University Press 2010
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