Beltrami operators in the plane
We determine optimal L p -properties for the solutions of the general nonlinear elliptic system in the plane of the form f =H(z, f z ), h∈ L p (C), where H is a measurable function satisfying |H(z,w1)−H(z,w2)|≤ k|w 1−w 2| and k is a constant k
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Veröffentlicht in: | Duke mathematical journal 2001-03, Vol.107 (1), p.27-56 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | We determine optimal L p -properties for the solutions of the general nonlinear elliptic system in the plane of the form f =H(z, f z ), h∈ L p (C), where H is a measurable function satisfying |H(z,w1)−H(z,w2)|≤ k|w 1−w 2| and k is a constant k |
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ISSN: | 0012-7094 1547-7398 |
DOI: | 10.1215/S0012-7094-01-10713-8 |