Abstract
We prove that a function $u \in W^{1,1}(\R^n)$ may be simultaneously approximated by a H\"older continuous function both pointwise and in the Sobolev norm.
Citation
David Swanson. "Approximation by Hölder continuous functions in a Sobolev space." Rocky Mountain J. Math. 44 (3) 1027 - 1035, 2014. https://doi.org/10.1216/RMJ-2014-44-3-1027
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