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math.APDec 1, 2007
30
citations (OpenAlex)
authors
  • Giovanni Alessandrini
  • Vincenzo Nesi
arXiv abstractPDF
paper

Invertible harmonic mappings, beyond Kneser

arXiv:0712.3840 · doi:10.2422/2036-2145.2009.3.03

Abstract

We prove necessary and sufficient criteria of invertibility for planar harmonic mappings which generalize a classical result of H. Kneser, also known as the Radó-Kneser-Choquet theorem.

One section added. 15 pages

Cited by in corpus (8)

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  • Quasiconformal harmonic mappings between Dini's smooth Jordan domains
  • Quasiconformal and HQC mappings between Lyapunov Jordan domains
  • Non planar free boundary minimal disks into ellipsoids
  • Analytic characterization of monotone Hopf-harmonics
  • On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations
  • The Radó-Kneser-Choquet theorem for p-harmonic mappings between Riemannian surfaces
  • Non-Convex Planar Harmonic Maps
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