𝐶^{1,1} regularity for an obstacle problem of Hessian equations on Riemannian manifolds

DOI10.1090/proc/12988zbMath1343.35121OpenAlexW2269369994WikidataQ115290849 ScholiaQ115290849MaRDI QIDQ2809199

Heming Jiao

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12988

zbMATH Keywords

Riemannian manifoldsobstacle problemfully nonlinear equations\(C^{1,1}\) regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Boundary value problems on manifolds (58J32) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Viscosity solutions to PDEs (35D40)

Related Items (3)

The obstacle problem for conformal metrics on compact Riemannian manifolds ⋮ A priori estimates for the obstacle problem of hessian type equations on Riemannian manifolds ⋮ On a class of obstacle problem for Hessian equations on Riemannian manifolds

Cites Work

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• The Dirichlet problem for Hessian equations on Riemannian manifolds
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• Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
• Hypersurfaces of prescribed man curvatureover obstacles
• The obstacle problem for Monge-Ampère equation
• The obstacle problem for Hessian equations on Riemannian manifolds
• The Dirichlet problem for the prescribed curvature equations
• THE OBSTACLE PROBLEM FOR MONGE-AMPÉRE EQUATION
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• User’s guide to viscosity solutions of second order partial differential equations

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