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Hölder Continuity of Harmonic Quasiconformal Mappings
Quasiconformal maps harmonic mappings H¨older continuity
2011/1/21
We prove that for harmonic quasiconformal mappings -H¨older continuity on the boundary implies -H¨older continuity of the map itself. Our result holds for the class of uniformly perfect bounded doma...
Burkholder integrals, Morrey's problem and quasiconformal mappings
Rank-one-convex Quasi-convex Variational Integrals
2011/1/17
Inspired by Morrey's Problem (on rank-one convex functionals)and the Burkholder integrals (of his martingale theory) we nd that the Burkholder functionals Bp, p > 2.
An Aronsson type approach to extremal quasiconformal mappings
Aronsson type extremal quasiconformal mappings
2010/11/19
We study $C^2$ extremal quasiconformal mappings in space and establish necessary and sufficient conditions for a `localized' form of extremality in the spirit of the work of G. Aronsson on absolutely...