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- W2764168012 abstract "The aim of this paper is to give a new characterization of Sobolev-Slobodeckij spaces W^{1+s,p} for p > n and n/p < s < 1, where n is the dimension of the domain. To achieve this we introduce a family of geometric curvature energies - functionals on the space of surfaces inspired by the classical concept of integral Menger curvature. We prove that a function belongs to a Sobolev-Slobodeckij space if and only if it is Lipschitz continuous and its graph has finite geometric curvature energy of appropriate type." @default.
- W2764168012 created "2017-10-20" @default.
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- W2764168012 date "2017-09-30" @default.
- W2764168012 modified "2023-09-27" @default.
- W2764168012 title "Characterization of Sobolev-Slobodeckij spaces using geometric curvature energies" @default.
- W2764168012 hasPublicationYear "2017" @default.
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