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MR2262887 (2008a:31004) 31A05 (31A10)
Verchota, Gregory C. Harmonic homeomorphisms of the closed disc to itself need be in $W\sp {1,p},\ p<2$, but not $W\sp {1,2}$. Proc. Amer. Math. Soc. 135 (2007), no. 3, 891–894 (electronic).
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