Nowhere differentiable intrinsic Lipschitz graphs
نویسندگان
چکیده
We construct intrinsic Lipschitz graphs in Carnot groups with the property that, at every point, there exist infinitely many different blow-up limits, none of which is a homogeneous subgroup. This provides counterexamples to Rademacher theorem for graphs.
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ژورنال
عنوان ژورنال: Bulletin of The London Mathematical Society
سال: 2021
ISSN: ['1469-2120', '0024-6093']
DOI: https://doi.org/10.1112/blms.12540