紧流形上Hamilton-Jacobi方程$C^{1,1}$临界子解的存在性
Existence of $C^{1,1}$ critical sub-solutions of the Hamilton-Jacobi equation on compact manifolds
摘要：
本文证明了Hamilton-Jacobi方程的临界子解的存在性，该解是Lipschitz微分可微的，改进了Fathi和Siconolfi的一个结果.本文是一个合并的版本与一个小错误更正从出版的版本。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
