The obstacle problem for Hessian equations on Riemannian manifolds

DOI10.1016/j.na.2013.10.004zbMath1286.58015OpenAlexW2025678762WikidataQ115343002 ScholiaQ115343002MaRDI QIDQ2637042

Yong Wang, Heming Jiao

Publication date: 18 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.10.004

zbMATH Keywords

regularityviscosity solutionobstacle problemfully nonlinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Elliptic equations on manifolds, general theory (58J05) Viscosity solutions to PDEs (35D40)

Related Items (5)

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

Cites Work

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• Free boundaries in optimal transport and Monge-Ampère obstacle problems
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• Convex hypersurfaces of prescribed curvatures
• Hessian measures. II
• Second-order estimates and regularity for fully nonlinear elliptic equations on Riemannian manifolds
• The Dirichlet problem for the prescribed curvature equations
• THE OBSTACLE PROBLEM FOR MONGE-AMPÉRE EQUATION
• The k-Hessian Equation
• User’s guide to viscosity solutions of second order partial differential equations

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