Pluricomplex energy
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Publication:1267286
DOI10.1007/BF02392899zbMath0926.32042MaRDI QIDQ1267286
Publication date: 18 November 1999
Published in: Acta Mathematica (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new capacity for plurisubharmonic functions
- Sums of continuous plurisubharmonic functions and the complex Monge- Ampère operator in \({\mathbb{C}}^ n\)
- The Dirichlet problem for the complex Monge-Ampère operator: Stability in \(L^ 2\)
- Extension of meromorphic maps into Kähler manifolds
- The Dirichlet problem for the complex Monge-Ampère operator: Perron classes and rotation-invariant measures
- The complex Monge-Ampère equation
- A Dirichlet principle for the complex Monge--Ampère operator
- A note on the preceding paper
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- An energy estimate for the complex Monge-Ampère operator
- Continuity of the complex Monge-Ampère operator
- The range of the complex Monge-Ampere operator II
- On the Dirichlet problem for the complex Monge-Ampère operator