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Approximation by mappings with singular Hessian minors

Publication at Faculty of Mathematics and Physics |
2018

Abstract

Let Omega subset of R-n be a Lipschitz domain. Given 1 u in C-1,C-alpha and weakly in W-2,W-P.

This result is in strong contrast with known regularity behavior of functions in W-2,W-P, p >= k, satisfying the same rank inequality. (C) 2018 Elsevier Ltd. All rights reserved.