On boundary blow-up problems for the complex Monge-Ampère equation

DOI10.1090/S0002-9939-08-09513-0zbMath1161.32021MaRDI QIDQ3542055

Szymon Pliś

Publication date: 27 November 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

complex Monge-Ampère equationblow-up problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Complex Monge-Ampère operators (32W20)

Related Items (7)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior ⋮ On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations ⋮ Boundary behavior of large solutions to the Monge-Ampère equations with weights

Cites Work

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• Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds
• On singular boundary value problems for the Monge-Ampère operator
• The blow-up rate of solutions to boundary blow-up problems for the complex Monge-Ampère operator
• Regularity and Uniqueness of Solutions to Boundary Blow-up Problems for the Complex Monge–Ampère Operator
• On the existence of solutions to the Monge-Ampère equation with infinite boundary values
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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