Fetching the paper…
Reading the bibliography…
This article studies the smoothness of conformal mappings between two Riemannian manifolds whose metric tensors have limited regularity.
S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold
1939
Earlier work this paper cites.
P. Hartman and A. Wintner, On the fundamental equations of differential geometry
1950
Earlier work this paper cites.
J. Serrin, Local behavior of solutions of quasi-linear equations
1964
Earlier work this paper cites.
O.A. Ladyzhenskaya, N.N. Uraltseva, Linear and quasilinear elliptic equations. Academic Press, New York and London, 1968
1968
Earlier work this paper cites.
E. Calabi and P. Hartman, On the smoothness of isometries
1970
Earlier work this paper cites.
J. Väisälä, Lectures on n n -dimensional quasiconformal mappings
1971
Earlier work this paper cites.
J. Lelong-Ferrand, Geometrical interpretation of scalar curvature and regularity of conformal homeomorphisms
1976
Earlier work this paper cites.
Yu.G. Reshetnyak, Differential properties of quasiconformal mappings and conformal mappings of Riemannian spaces
1979
Earlier work this paper cites.
D. DeTurck and J. Kazdan, Some regularity theorems in Riemannian geometry
1981
Earlier work this paper cites.
T. Iwaniec, Regularity theorems for solutions of partial differential equations for quasiconformal mappings in several dimensions
1982
Earlier work this paper cites.
S.Z. Shefel, Smoothness of a conformal map of Riemannian spaces
1982
Earlier work this paper cites.
E. DiBenedetto, C 1 + α C^{1+\alpha} local regularity of weak solutions of degenerate elliptic equations
1983
Cited alongside, same era.
J. Manfredi, Regularity of the gradient for a class of nonlinear possibly degenerate elliptic equations
1986
Cited alongside, same era.
A. L. Besse, Einstein manifolds
1987
Cited alongside, same era.
Yu. G. Reshetnyak, Space mappings with bounded distortion
1989
Cited alongside, same era.
J. Heinonen, T. Kilpeläinen, O. Martio, Nonlinear potential theory of degenerate elliptic equations
1993
Cited alongside, same era.
S. Rickman, Quasiregular mappings
1993
Cited alongside, same era.
M. E. Taylor, Tools for PDE
2000
Later among the works it cites.
T. Iwaniec and G. Martin, Geometric function theory and non-linear analysis
2001
Later among the works it cites.
E. H. Lieb and M. Loss, Analysis
2001
Later among the works it cites.
M. E. Taylor, Existence and regularity of isometries
2006
Later among the works it cites.
P. Pucci and R. Servadei, Regularity of weak solutions of homogeneous or inhomogeneous quasilinear elliptic equations
2008
Later among the works it cites.
K. Astala, T. Iwaniec and G. Martin, Elliptic partial differential equations and quasiconformal mappings in the plane
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
J. Heinonen, P. Koskela, Definitions of quasiconformality
1995
Cited alongside, same era.
M. E. Taylor, Partial Differential Equations III
1996
Cited alongside, same era.
J. Malý and W. P. Ziemer, Fine regularity of solutions of elliptic partial differential equations
1997
Cited alongside, same era.
T. Aubin, Some nonlinear problems in Riemannian geometry
1998
Cited alongside, same era.
L.C. Evans, Partial differential equations
1998
Cited alongside, same era.
L. Capogna and E. Le Donne, Smoothness of subRiemannian isometries
Cited in the paper.
2011
Later among the works it cites.
T. Liimatainen and M. Salo, Nowhere conformally homogeneous manifolds and limiting Carleman weights
2012
Closest in time.
M. Salo and X. Zhong, An inverse problem for the p-Laplacian: boundary determination
2012
Closest in time.
T. Liimatainen, On the Role of Riemannian Metrics in Conformal and Quasiconformal Geometry, Doctoral dissertation. Aalto University, ISBN 978-952-60-5033-1, (2013)
2013
Closest in time.
Y. Okuyama, P. Pankka, Equilibrium measures for uniformly quasiregular dynamics, J. London Math. Soc. (2), 89
2014
Closest in time.