Let $f\colon\mathbb{R}^{n}\to\mathbb{R}$ be any Lipschitz continuous function. Then $f$ is differentiable in almost every $x\in\mathbb{R}^{n}$.

Title Rademacher’s theorem RademachersTheorem 2013-03-22 13:32:01 2013-03-22 13:32:01 paolini (1187) paolini (1187) 6 paolini (1187) Theorem msc 26B05 differentiability of Lipschitz functions LipschitzCondition