Suppose $u$: $R^N\to R$ is lipschitz, then do we have a.e. level set of $u$ has Lipschitz boundary? Is this anything to do with Sard theorem?
Sard theorem states that a.e. Level set of smooth function is a smooth manifold.
Suppose $u$: $R^N\to R$ is lipschitz, then do we have a.e. level set of $u$ has Lipschitz boundary? Is this anything to do with Sard theorem?
Sard theorem states that a.e. Level set of smooth function is a smooth manifold.
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