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• W2034655066 abstract "We study mappings with bounded (p,q)-distortion associated to Sobolev spaces on Carnot groups. Mappings of such type have applications to the Sobolev type embedding theory and classification of manifolds. For this class of mappings, we obtain estimates of linear distortion, and a geometrical description. We prove also Liouville type theorems and give some sufficient conditions for removability of sets. Nous étudions les applications à (p,q)-distorsion bornée qui sont associées aux espaces de Sobolev sur les groupes de Carnot. Les applications de ce type sont utilisées dans la théorie de plongement de type Sobolev et dans la classication des variétés. Pour cette classe d'applications nous obtenons des estimations de la distorsion linéaire ainsi qu'une description géométrique. Nous démontrons également des théorèmes de type Liouville et donnons des conditions suffisantes pour qu'un ensemble soit effacable." @default.
• W2034655066 created "2016-06-24" @default.
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• W2034655066 date "2010-09-01" @default.
• W2034655066 modified "2023-10-16" @default.
• W2034655066 title "Mappings with bounded <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mo stretchy=false>(</mml:mo><mml:mi>P</mml:mi><mml:mo>,</mml:mo><mml:mi>Q</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:math>-distortion on Carnot groups" @default.
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• W2034655066 doi "https://doi.org/10.1016/j.bulsci.2009.09.002" @default.
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