Harmonic homeomorphisms of the closed disc to itself need be in $W^\{1,p\}$, $p&lt;2$, but not $W^\{1,2\}$

Gregory C Verchota

doi:10.1090/s0002-9939-06-08506-6

Harmonic homeomorphisms of the closed disc to itself need be in $W^\{1,p\}$, $p<2$, but not $W^\{1,2\}$

Gregory C Verchota

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https://doi.org/10.1090/s0002-9939-06-08506-6

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Journal: Proceedings of the American Mathematical Society	Publication Date: Aug 28, 2006
Citations: 14

Affiliation: Carnegie Hall, Syracuse University

#Harmonic Maps #Bounded Convex Sets + Show 2 more

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Abstract

Harmonic maps u from the closed disc onto bounded convex sets of the plane obey u ∈ W 1,p,p < 2.

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