A Dirichlet principle for the complex Monge-Ampère operator

Leif Persson

doi:10.1007/BF02412219

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Home > Journals > Ark. Mat. > Volume 37 > Issue 2 > Article

October 1999 A Dirichlet principle for the complex Monge-Ampère operator

Leif Persson

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Leif Persson¹
¹Department of Mathematics, Umeå University

Ark. Mat. 37(2): 345-356 (October 1999). DOI: 10.1007/BF02412219

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Abstract

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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Leif Persson. "A Dirichlet principle for the complex Monge-Ampère operator." Ark. Mat. 37 (2) 345 - 356, October 1999. https://doi.org/10.1007/BF02412219