Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions

DOI10.1007/s11118-005-0915-4zbMath1097.35035OpenAlexW2037376326MaRDI QIDQ2502242

Richard L. Wheeden, Eric T. Sawyer

Publication date: 12 September 2006

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-005-0915-4

zbMATH Keywords

quasilinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for nonlinear higher-order PDEs (35G30) A priori estimates in context of PDEs (35B45)

Related Items (12)

Hypoellipticity for infinitely degenerate quasilinear equations and the Dirichlet problem ⋮ Smooth approximation for intrinsic Lipschitz functions in the Heisenberg group ⋮ Regularity of subelliptic Monge-Ampère equations ⋮ A priori estimates for quasilinear equations related to the Monge-Ampère equation in two dimensions ⋮ Hypoellipticity of certain infinitely degenerate second order operators ⋮ A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations ⋮ Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in two dimensions ⋮ Poincaré-type inequality for Lipschitz continuous vector fields ⋮ The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE ⋮ Smoothness of radial solutions to Monge-Ampère equations ⋮ Local Boundedness, Maximum Principles, and Continuity of Solutions to Infinitely Degenerate Elliptic Equations with Rough Coefficients ⋮ Existence of Global Smooth Solutions to Dirichlet Problem for Degenerate Elliptic Monge–Ampere Equations

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