EuDML | Browse

Page 1

Displaying 1 – 13 of 13

Landau's theorem for p-harmonic mappings in several variables

Sh. Chen, S. Ponnusamy, X. Wang (2012)

Annales Polonici Mathematici

A 2p-times continuously differentiable complex-valued function f = u + iv in a domain D ⊆ ℂ is p-harmonic if f satisfies the p-harmonic equation $Δ^{p} f = 0$ , where p (≥ 1) is a positive integer and Δ represents the complex Laplacian operator. If Ω ⊂ ℂⁿ is a domain, then a function $f : Ω \to ℂ^{m}$ is said to be p-harmonic in Ω if each component function $f_{i}$ (i∈ 1,...,m) of $f = (f ₁, . . ., f_{m})$ is p-harmonic with respect to each variable separately. In this paper, we prove Landau and Bloch’s theorem for a class of p-harmonic mappings f from...

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.

Letter to the editor.

Egorov, A.A. (2001)

Sibirskij Matematicheskij Zhurnal

Linear bilipschitz extension property.

Alestalo, Pekka, Trotsenko, D.A., Väisälä, Jussi (2003)

Sibirskij Matematicheskij Zhurnal

Linear dilatation and absolute continuity.

Koskela, P., Rogovin, S. (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

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.

Liouville's theorem in a pseudo-conformal space.

Schleiermacher, Adolf (2003)

Mathematica Pannonica

Local convexity properties of $j$ -metric balls.

Klén, Riku (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

Local stability of mappings with bounded distortion on Heisenberg groups.

Isangulova, D.V. (2007)

Sibirskij Matematicheskij Zhurnal

Locally minimal sets for conformal dimension.

Bishop, Christopher J., Tyson, Jeremy T. (2001)

Annales Academiae Scientiarum Fennicae. Mathematica

Locally uniform domains and quasiconformal mappings.

Herron, David A., Koskela, Pekka (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Loewner chains and quasiconformal extension of holomorphic mappings

Hidetaka Hamada, Gabriela Kohr (2003)

Annales Polonici Mathematici

Let f(z,t) be a Loewner chain on the Euclidean unit ball B in ℂⁿ. Assume that f(z) = f(z,0) is quasiconformal. We give a sufficient condition for f to extend to a quasiconformal homeomorphism of $ℝ^{2 n}$ onto itself.

Lusin's condition (N) and mappings of the class W1, n.

Olli Martio, Jan Maly (1995)

Journal für die reine und angewandte Mathematik

Displaying 1 – 13 of 13

Currently displaying 1 – 13 of 13