An interior second derivative bound for solutions of Hessian equations

DOI10.1007/s005260000061zbMath0986.35035MaRDI QIDQ5944875

John I. E. Urbas

Publication date: 10 October 2001

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

interior regularity of weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (13)

An approximation result for solutions of Hessian equations ⋮ Hessian estimates to special Lagrangian equation on general phases with constraints ⋮ Solutions to degenerate complex Hessian equations ⋮ Interior regularity for strong solutions to a class of fully nonlinear elliptic equations ⋮ Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates ⋮ Hessian estimates for convex solutions to quadratic Hessian equation ⋮ Hessian estimates for Lagrangian mean curvature equation ⋮ The local regularity for strong solutions of the Hessian quotient equation ⋮ Hessian estimates for the sigma‐2 equationin dimension 3 ⋮ Moser-Trudinger type inequalities for the Hessian equation ⋮ Hessian estimate for semiconvex solutions to the sigma-2 equation ⋮ A priori estimate for convex solutions to special Lagrangian equations and its application ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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