Construction of a priori bounds for convex solutions of the Monge-Ampère equation by integral methods

DOI10.1007/BF01130627zbMath0406.35008OpenAlexW1964421522MaRDI QIDQ1257597

Nina M. Ivochkina

Publication date: 1978

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01130627

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (9)

On second derivative estimates for equations of Monge-Ampère type ⋮ Interior \(W^{2, p}\) estimate for small perturbations to the complex Monge-Ampère equation ⋮ On the regularity of the complex Monge-Ampère equations ⋮ Interior curvature bounds for a class of curvature equations ⋮ Solution of the Dirichlet problem for the Monge-Ampère equation in weight spaces ⋮ Interior regularity of the degenerate Monge-Ampère equation ⋮ A priori estimates and a Liouville theorem for elliptic Monge-Ampère equations ⋮ A priori estimate of \(\| u\|(C^ 2(\Omega^-)\)-norm) for convex solutions of the Dirichlet problem for the Monge-Ampère equations ⋮ A priori estimates and a Liouville theorem for complex Monge-Ampère equations

Cites Work

• On nonlinear elliptic partial differential equations and hölder continuity

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