The Dirichlet problem for the degenerate elliptic Monge-Ampère equation

DOI10.1006/jmaa.1999.6519zbMath0936.35073OpenAlexW1990101006MaRDI QIDQ1307261

Ji Guang Bao

Publication date: 1 December 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6519

zbMATH Keywords

existenceuniquenessglobal solutionsnonnegative Gauss curvature equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

Related Items (2)

Global \(C^{1,\alpha}\) regularity for Monge-Ampère equation and convex envelope ⋮ On Neumann problem for the degenerate Monge-Ampère type equations

Cites Work

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• On the solvability of the Dirichlet problem for degenerate equations of Monge-Ampere type
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
• On degenerate fully nonlinear elliptic equations in balls
• REGULARITY FOR MONGE-AMPERE EQUATION NEAR THE BOUNDARY

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