Hölder continuity of solutions to the complex Monge–Ampère equation with the right-hand side in Lp: the case of compact Kähler manifolds

By S. Kołodziej. 2008

88 citations recorded by the source corpus.

We prove that on compact Kähler manifolds solutions to the complex Monge–Ampère equation, with the right-hand side in Lp, p > 1, are Hölder continuous.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/bb76e7819a25856a1486a7df6e1714ef2c0b8588

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In Applied Mathematics

1. Bin Guo
2. Xin Fu
3. Jian Song
4. G'abor Sz'ekelyhidi
5. Valentino Tosatti
6. B. Weinkove
7. Robert J. Berman
8. Tam'as Darvas

In Geometry and Topology

1. Bin Guo
2. Xin Fu
3. Jian Song
4. G'abor Sz'ekelyhidi
5. Valentino Tosatti
6. B. Weinkove
7. Robert J. Berman
8. Tam'as Darvas

Citations in the corpus

• Geometric estimates for complex Monge–Ampère equations (2017, background): “In [7, 16], it is shown that the bounded solution is also Hölder continuous and the Hölder exponent only depends only on n and p.”