本刊英文版Vol.30(2014),No.12论文摘要(英文)

<正>Regularity of the Inverse of a Homeomorphism with Finite Inner Distortion Chang Yu GUO Abstract Let f:Ω→f(Ω)R~n be a W~(1,1)-homeomorphism with L~1-integrable inner distortion.We show that finiteness of min{lip_f(x),k_f(x)},for every x∈Ω\E,implies that f~(-1)∈W~(1,n)and has finite distortion,provided that the exceptional set E hasσ-finite H~1-measure.Moreover,f has finite distortion,differentiable a.e.and the Jacobian J_f0 a.e.