\(C^{1,1}\) regularity for an obstacle problem of Hessian equations on Riemannian manifolds (Q2809199)
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scientific article; zbMATH DE number 6586348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^{1,1}\) regularity for an obstacle problem of Hessian equations on Riemannian manifolds |
scientific article; zbMATH DE number 6586348 |
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27 May 2016
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obstacle problem
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Riemannian manifolds
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fully nonlinear equations
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\(C^{1,1}\) regularity
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\(C^{1,1}\) regularity for an obstacle problem of Hessian equations on Riemannian manifolds (English)
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This paper deals with the study of the obstacle problem for Hessian equations on Riemannian manifolds. The main result of the paper under review establishes the \(C^{1,1}\) regularity of the greatest viscosity solution. The proof combines a genalization technique with gradient and second order estimates respectively for the solution of the approximating problem.
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