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The Dirichlet problem for the Monge–Ampère equation on Hermitian manifolds with boundary

Work

Year: 2022

Type: article

Abstract: We study weak quasi-plurisubharmonic solutions to the Dirichlet problem for the complex Monge–Ampère equation on a general Hermitian manifold with non-empty boundary. We prove optimal subsolution the... more

Source: Calculus of Variations and Partial Differential Equations

Authors Sławomir Kołodziej, Ngoc Cuong Nguyen

Institutions Jagiellonian University, Korea Advanced Institute of Science and Technology

Cites: 37

Cited by: 2

Related to: 10

FWCI: 0.779

Citation percentile (by year/subfield): 39.45

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

APC paid (est): $2,990

Funders National Research Foundation of Korea, Narodowe Centrum Nauki, Korea Advanced Institute of Science and Technology

Grant IDS 2021R1F1A1048185, 2021/41/B/ST1/01632, G04190056