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- W2163373754 abstract "We study the removable singularities for solutions to the Beltrami equation @f = µ@f, assuming that the coecient µ lies on some Sobolev space W 1,p , p • 2. Our results are based on an extended version of the well known Weyl’s lemma, asserting that distributional solutions are actually true solutions. Our main result is that quasiconformal mappings with compactly supported Beltrami coecient µ 2 W 1,2 preserve compact sets of ae-finite length and vanishing analytic capacity, even though they need not be bilipschitz." @default.
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- W2163373754 date "2005-01-01" @default.
- W2163373754 modified "2023-09-27" @default.
- W2163373754 title "Beltrami equations with coecient in the Sobolev space" @default.
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