An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations (Q2492433)
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| Language | Label | Description | Also known as |
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| English | An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations |
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An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations (English)
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9 June 2006
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Let \(\Omega \) be a bounded domain. Let \(u\) be a sub-solution and \(v\) be a super-solution of the Dirichlet problem of degenerate prescribed curvature equation. It is shown using \(C^{1,1}\)-approximation that \(u\leq v\) in \(\Omega \).
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non-smooth analysis
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curvature equation
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viscosity solution
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comparison principle
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