Wildrick, Kevin Zürcher, Thomas 2014-08-13 We give a sharp condition on the lower local Lipschitz constant of a mapping from a metric space supporting a Poincaré inequality to a Banach space with the Radon–Nikodym property that guarantees differentiability at almost every point. We apply these results to obtain a non-embedding theorem for a corresponding class of mappings. application/pdf https://folia.unifr.ch/global/documents/304813 https://folia.unifr.ch/documents/304813/files/wil_sdr.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s12220-014-9527-9 info:eu-repo/semantics/openAccess License undefined The Journal of Geometric Analysis. - 2015, vol. 25, no. 4, p. 2590–2616 Differentiability Poincaré inequality Lorentz space Sobolev space Embedding info:eu-repo/classification/udc/51 Sharp differentiability results for the lower local Lipschitz constant and applications to non-embedding http://purl.org/coar/resource_type/c_6501