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On certain nonlinear elliptic PDE and quasiconfomal mapps between Euclidean surfaces

Authors
  • Kalaj, David
  • Mateljevic, Miodrag
Type
Published Article
Publication Date
Sep 04, 2010
Submission Date
Apr 17, 2008
Identifiers
arXiv ID: 0804.2785
Source
arXiv
License
Yellow
External links

Abstract

We mainly investigate some properties of quasiconformal mappings between smooth 2-dimensional surfaces with boundary in the Euclidean space, satisfying certain partial differential equations (inequalities) concerning Laplacian, and in particular satisfying Laplace equation and show that that these mappings are Lipschitz. Conformal parametrization of such surfaces and the method developed in our paper \cite{km} have important role in this paper.dan curves and is extended to the case of $C^{2,\alpha}$ surfaces with smooth and compact boundary.

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