no. 6
Liouville type theorems for mappings with bounded (co)-distortion
[Théorèmes de type Liouville pour les applications à (co)-distorsion bornée]
Troyanov, Marc1 ; Vodop'yanov, Sergei2
1 EPFL, Institut de Mathématiques, CH-1015 Lausanne
2 Sobolev Institute of Mathematics, Novosibirsk 630090 (Russie)
Annales de l'Institut Fourier, Tome 52 (2002) no. 6, pp. 1753-1784.

Nous démontrons des théorèmes de type Liouville pour les applications à s-distorsion bornée entre variétés riemanniennes. En plus de ces applications, nous introduisons et étudions une nouvelle classe d’applications : les applications à q-co-distorsion bornée.

We obtain Liouville type theorems for mappings with bounded s-distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded q-codistorsion.

DOI : 10.5802/aif.1933
Classification : 30C65, 31B15, 26B10
Keywords: mapping with bounded distortion, capacity, parabolicity
Mot clés : applications à distorsion bornée, capacités, parabolicité

Troyanov, Marc 1 ; Vodop'yanov, Sergei 2

1 EPFL, Institut de Mathématiques, CH-1015 Lausanne
2 Sobolev Institute of Mathematics, Novosibirsk 630090 (Russie) 
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Troyanov, Marc; Vodop'yanov, Sergei. Liouville type theorems for mappings with bounded (co)-distortion. Annales de l'Institut Fourier, Tome 52 (2002) no. 6, pp. 1753-1784. doi : 10.5802/aif.1933. https://aif.centre-mersenne.org/articles/10.5802/aif.1933/

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