Invertible harmonic mappings, beyond Kneser
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, p. 451-468
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.
Classification:  31A05,  35J25,  30C60,  53A10
@article{ASNSP_2009_5_8_3_451_0,
     author = {Alessandrini, Giovanni and Nesi, Vincenzo},
     title = {Invertible harmonic mappings, beyond Kneser},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 8},
     number = {3},
     year = {2009},
     pages = {451-468},
     zbl = {1182.31002},
     mrnumber = {2574339},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2009_5_8_3_451_0}
}
Alessandrini, Giovanni; Nesi, Vincenzo. Invertible harmonic mappings, beyond Kneser. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 8 (2009) no. 3, pp. 451-468. http://www.numdam.org/item/ASNSP_2009_5_8_3_451_0/

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