Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w1,2

Gregory C. Verchota

doi:10.1090/S0002-9939-06-08506-6

Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w^1,2

Gregory C. Verchota

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Harmonic maps u from the closed disc onto bounded convex sets of the plane obey u ε W¹,p, p < 2.

Original language	English (US)
Pages (from-to)	891-894
Number of pages	4
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-06-08506-6
State	Published - Mar 2007

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-06-08506-6

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Harmonic homeomorphisms of the closed disc to itself need be in w1,p, p < 2, but not w^1,2

Abstract

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