GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs) By TADEUSZ IWANIEC and GAVEN MARTIN: 552 pp., £75.00, ISBN 0-19-85029-4 (Oxford University Press, 2001)
By Pekka Koskela. 2002
253 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/2d7ef71ed157ae2c0fe8c4652de416b2d6c31a23
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In Algebra and Number Theory
- Kari ASTALA *
- Lassi PÄIVÄRINTA #
- J. Heinonen
- M. Bonk
- Matti Lassas
- Giuseppe Mingione
- Jani Onninen
- T. Rivière
In Computational Theory and Mathematics
- Giuseppe Mingione
- Jani Onninen
- Matti Lassas
- Kari ASTALA *
- Lassi PÄIVÄRINTA #
- Gunther Uhlmann
- J. Heinonen
- M. Bonk
In Management Science and Operations Research
- Kari ASTALA *
- Lassi PÄIVÄRINTA #
- J. Heinonen
- M. Bonk
- Matti Lassas
- Giuseppe Mingione
- Jani Onninen
- T. Rivière
Citations in the corpus
- Smooth quasiregular mappings with branching (2004, methodology): “We refer to the monographs [14], [15], [5] for the basic theory of quasiregular mappings.”
- Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “Iwaniec [44]; extensions to the setting of Orlicz spaces, and in certain limit function spaces, are also available [146, 148, 191, 192, 120, 41].”
- Mappings of finite distortion: Sharp Orlicz-conditions (2003, background): “For this see [12], the monograph [8], and the references therein.”
- Calderon's inverse conductivity problem in the plane (2006, methodology): “On the other hand, by the general theory of quasiconformal maps ([2], [14], [21]) there exists a unique quasiconformal homeomorphism φλ ∈ H(1) loc(C) satisfying”
- Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane (2004, methodology): “For the conductivity = jk we define the corresponding Beltrami coefficient (see Astala and Päivärinta, 2003; Iwaniec and Martin, 2001; Sylvester, 1990).”
- Partial regularity for harmonic maps and related problems (2006, background): “Decomposing any k ∈ L(BR(x0);∧ m−2 R ) as k = dψ + ∗dρ+ η with η satisfying dη = 0, d(∗η) = 0 and with ψ = 0 on ∂B as in [7], Corollary 10.”