Gradient estimates for Neumann boundary value problem of Monge–Ampère type equations

DOI10.1142/S0219199716500413zbMath1384.35036WikidataQ59258797 ScholiaQ59258797MaRDI QIDQ5276048

Ni Xiang, Jinju Xu, Feida Jiang

Publication date: 14 July 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

gradient estimateNeumann problemMonge-Ampère type equationdegenerate elliptic solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Monge-Ampère equations (35J96)

Related Items

On Neumann problem for the degenerate Monge-Ampère type equations, The degenerate Monge-Ampère equations with the Neumann condition, Interior and boundary gradient estimates for solutions to Hessian equations satisfying Neumann boundary conditions, Neumann problem for Monge-Ampere type equations revisited.

Cites Work

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• On the regularity of solutions of optimal transportation problems
• On strict convexity and continuous differentiability of potential functions in optimal transportation
• Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary
• Gradient estimates of mean curvature equations with Neumann boundary value problems
• On the reflector shape design
• Linear oblique derivative problems for the uniformly elliptic Hamilton- Jacobi-Bellman equation
• On a Monge-Ampère equation arising in geometric optics
• Elliptic partial differential equations of second order
• Translating solutions for Gauss curvature flows with Neumann boundary conditions.
• Weak solutions of Monge-Ampère type equations in optimal transportation
• Regularity of potential functions of the optimal transportation problem
• On the Dirichlet problem for Monge-Ampère type equations
• On the second boundary value problem for Monge-Ampère type equations and optimal transportation
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The neumann problem for equations of monge-ampère type
• L^pand Hölder estimates for a class fo degenerate elliptic boundary value problems Application to the Monge–Amp ére equation
• On the design of a reflector antenna
• Oblique Derivative Problems for Elliptic Equations
• On the Neumann Problem for Monge-Ampére Type Equations