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Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds

Patrick Bernard
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Abstract

We prove the existence of a critical subsolution of the Hamilton-Jacobi equation which is differentiable with Lipschitz differential, improving a previous result of Fathi and Siconolfi. This text is a consolidated version with a minor mistake corrected from the published version.

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Patrick Bernard. 2005-12-01. Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds. https://arxiv.org/abs/math/0512018

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