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We establish the existence and fundamental properties of the equilibrium measure in uniformly quasiregular dynamics.
Foundations of modern potential theory
N. S. Landkof · 1972
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On the integrability of the derivative of a quasiregular mapping
O. Martio · 1974
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Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
N. G. Meyers and A. Elcrat · 1975
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Averages of the counting function of a quasiregular mapping
P. Mattila and S. Rickman · 1979
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On L p L^{p} -integrability in PDEs and quasiregular mappings for large exponents
T. Iwaniec · 1982
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Entropy properties of rational endomorphisms of the Riemann sphere
M. J. Ljubich · 1983
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Ergodic theory
K. Petersen · 1983
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Lusin’s condition (N) and mappings with nonnegative Jacobians
O. Martio and W. P. Ziemer · 1992
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Nonlinear potential theory of degenerate elliptic equations
J. Heinonen, T. Kilpeläinen, and O. Martio · 1993
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Quasiregular mappings
S. Rickman · 1993
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Quasiregular semigroups
T. Iwaniec and G. Martin · 1996
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Some nonlinear problems in Riemannian geometry
T. Aubin · 1998
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Ricci curvature, Harnack functions, and Picard type theorems for quasiregular mappings
I. Holopainen and S. Rickman · 1998
Cited alongside, same era.
Nonlinear Hodge theory on manifolds with boundary
T. Iwaniec, C. Scott, and B. Stroffolini · 1999
Cited alongside, same era.
Examples of uniformly quasiregular mappings
Quasiregular mappings and cohomology
M. Bonk and J. Heinonen · 2001
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Local dynamics of uniformly quasiregular mappings
A. Hinkkanen, G. J. Martin, and V. Mayer · 2004
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Notes on p p -harmonic analysis
L. D’Onofrio and T. Iwaniec · 2005
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The generalized Lichnerowicz problem: uniformly quasiregular mappings and space forms
G. Martin, V. Mayer, and K. Peltonen · 2006
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Equidistribution and Nevanlinna theory
D. Drasin and Y. Okuyama · 2007
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Weakly differentiable mappings between manifolds
P. Hajłasz, T. Iwaniec, J. Malý, and J. Onninen · 2008
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K. Peltonen · 1999
Cited alongside, same era.
L. Astola, R. Kangaslampi, and K. Peltonen · 2010
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