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A Dirichlet principle for the complex Monge-Ampère operator

Leif Persson Department of Mathematics, Umeå University

TBD mathscidoc:1701.332920

Arkiv for Matematik, 37, (2), 345-356, 1997.8
A solution to a Dirichlet problem for the complex Monge-Ampère operator is characterized as a minimizer of an energy functional. A mutual energy estimate and a generalization of Hölder's inequality is proved. A comparison is made with corresponding results in classical potential theory.
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@inproceedings{leif1997a,
  title={A Dirichlet principle for the complex Monge-Ampère operator},
  author={Leif Persson},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203556537820729},
  booktitle={Arkiv for Matematik},
  volume={37},
  number={2},
  pages={345-356},
  year={1997},
}
Leif Persson. A Dirichlet principle for the complex Monge-Ampère operator. 1997. Vol. 37. In Arkiv for Matematik. pp.345-356. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203556537820729.
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