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- W1968891983 abstract "We present a new approach to the celebrated theorem of Radó–Kneser–Choquet (RKC) on univalence of planar harmonic mappings. The novelty lies in establishing a continuous path (isotopy) from the given harmonic map to a conformal one. Along this path the mappings retain positive Jacobian determinant by virtue of so-called Minimum Principle. These ideas extend to nonlinear uncoupled systems of partial differential equations, as in Iwaniec, Koski and Onninen [‘Isotropic p-harmonic systems in 2D, Jacobian estimates and univalent solutions’, Rev. Mat. Iberoam, to appear]. Unfortunately, details of such digression would lead us too far afield. Nonetheless, one gains (in particular) the RKC-Theorem for the isotropic p-harmonic deformations." @default.
- W1968891983 created "2016-06-24" @default.
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- W1968891983 date "2014-11-15" @default.
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- W1968891983 title "Radó-Kneser-Choquet theorem" @default.
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- W1968891983 doi "https://doi.org/10.1112/blms/bdu084" @default.
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