On Quasiconformal Mappings and 2‐Dimensional GClosure Problems

Kari Astala, Markku Miettinen

Type: Article

Publication Date: 1998-09-01

Citations: 13

DOI: https://doi.org/10.1007/s002050050104

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Locations

Archive for Rational Mechanics and Analysis - View

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Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Univalent<i>σ</i>-harmonic mappings: applications to composites	2002	Giovanni Alessandrini Vincenzo Nesi
+	Univalent Σ-harmonic mappings: connections with quasiconformal mappings	2003	Giovanni Alessandrini Vincenzo Nesi
+	Multiphase laminates of extremal effective conductivity in two dimensions	2007	Nathan Albin Andrej Cherkaev Vincenzo Nesi
+	Recent Connections and Applications of Planar Quasiconformal Mappings	1998	Kari Astala
+	Composites and quasiconformal mappings: new optimal bounds in two dimensions	2003	Kari Astala Vincenzo Nesi
+	Quasiconformal Mappings in Euclidean Spaces	2005	F. W. Gehring
+	Area Formulas for σ-Harmonic Mappings	2002	Giovanni Alessandrini Vincenzo Nesi
+	Area Distortion of Quasiconformal Mappings	2002	David Hamilton
+	Improved bounds for the overall properties of a nonlinear composite dielectric	2001	D. R. S. Talbot
+	Green’s functions for elliptic and parabolic equations with random coefficients II	2004	Joseph P. Conlon

Works Cited by This (9)

Action	Title	Year	Authors
+	Homogenization of Differential Operators and Integral Functionals	1994	V. V. Zhikov С. М. Козлов O. A. Oleĭnik
+	Conductivity of Polycrystals	1963	Zvi Hashin S. Shtrikman
+	Sphere assemblage model for polycrystals and symmetric materials	1983	Kalman Schulgasser
+	Area distortion of quasiconformal mappings	1994	Kari Astala
+	On the effective conductivity of polycrystals and a three-dimensional phase-interchange inequality	1988	M. Avellaneda Andrej Cherkaev K. A. Lurie Graeme W. Milton
+ PDF Chat	Quasiconformal Mappings in the Plane:	1983	Olli Lehto K. I. Virtanen
+ PDF Chat	On the area distortion by quasiconformal mappings	1995	Alexandre Erëmenko David Hamilton
+	Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion	1984	K. A. Lurie Andrej Cherkaev
+	Using quasiconvex functionals to bound the effective conductivity of composite materials	1993	Vincenzo Nesi