Extremal Mappings of Finite Distortion

132 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Hyperelastic Deformations of Smallest Total Energy (2009, background): “2 Quite recently in [ 3 ], it has been shown that (37) holds for every deformation h ∈ W 1,n loc (X,Y) with integrable inner distortion.Thustheinverseof h alsoliesinW 1,n (Y,X).Thissuggestsinvestigating the mean distortion”
A note on extremal mappings of finite distortion (2005, unknown): “The study of the connection between extremal mappings of finite distortion and harmonic mappings was initiated in [ 1 ] and further investigated in [2].”
n-Harmonic Mappings Between Annuli (2011, background): “The L 1-theory of inner distortion The conformal energy can naturally be turned around so as to yield, the L 1-integrability of a distortion function of the inverse mapping [4].”
Regularity of the Inverse of a Planar Sobolev Homeomorphism (2006, methodology): “Here and in the sequel, we use the notation Q0 = [0;1] £ [0; 1 ] for the unit square in R2.”
Deformations of Annuli with Smallest Mean Distortion (2010, background): “In [4], we initiated the study of extremal problems for these mappings and furthered these studies in [2] to extremal mappings between Riemann surfaces and their degenerations.”