On domains of regularity of the solutions of some special classes of Monge-Ampère-type equations

DOI10.1007/S10958-008-0040-1zbMath1153.35328OpenAlexW2004442655MaRDI QIDQ950818

Olga S. Rozanova

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0040-1

zbMATH Keywords

Monge-Ampère-type equationsdomains of regularitypressure-wind balance equationsurface with negative Gaussian curvature

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Periodic solutions to PDEs (35B10) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05)

Cites Work

• Formation of singularities for Monge-Ampère equations
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
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