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Subjects
26-XX Real functions
26Bxx Functions of several variables
26B10 Implicit function theorems, Jacobians, transformations with several variables

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Lebesgue measure and mappings of the Sobolev class $W^{1, n}$

O. Martio (1995)

Banach Center Publications

We present a survey of the Lusin condition (N) for $W^{1, n}$ -Sobolev mappings $f : G \to ℝ^{n}$ defined in a domain G of $ℝ^{n}$ . Applications to the boundary behavior of conformal mappings are discussed.

Lineare zweidimensionale Räume von stetigen Funktionen mit stetigen ersten Ableitungen

Jitka Kojecká (1974)

Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika

Liouville type theorems for mappings with bounded (co)-distortion

Marc Troyanov, Sergei Vodop'yanov (2002)

Annales de l’institut Fourier

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.

Currently displaying 1 – 3 of 3