Sufficient Conditions for Integrability of Distortion Function Kf 1

 Access to full text

 Full (PDF)

 Full (DjVu)

1. ASTALA, K. - GILL, J. - ROHDE, S. - SAKSMAN, E., Optimal regularity for planar mappings of finite distortion, Ann. Inst. H. Poincaré Anal. Non Linéaire, (to appear). Zbl1191.30007MR2580501DOI10.1016/j.anihpc.2009.01.012
2. ASTALA, K. - IWANIEC, T. - MARTIN, G., Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, Princeton Mat. Ser., 48 (2009). Zbl1182.30001MR2472875
3. CAROZZA, M. - SBORDONE, C., The distance to $L^{\mathrm{\infty }}$ in some function spaces and applications, Differential Integral Equations, 10 (4) (1997), 599-607. Zbl0889.35027MR1741764
4. FARACO, D. - KOSKELA, P. - ZHONG, X., Mappings of finite distortion: the degree of regularity, Adv. Math., 190 (2005), 300-318. Zbl1075.30012MR2102659DOI10.1016/j.aim.2003.12.009
5. FEDERER, H., Geometric measure theory, Grundlehren Math. Wiss., Band 153, Springer-Verlag, New York, 1969 (second edition 1996) Zbl0176.00801MR257325
6. FUSCO, N. - LIONS, P. L. - SBORDONE, C., Sobolev imbedding theorems in borderline cases, Proc. Amer. Math. Soc., 124 (2) (1996), 561-565. Zbl0841.46023MR1301025DOI10.1090/S0002-9939-96-03136-X
7. GEHRING, F. W. - LEHTO, O., On the total differentiability of functions of complex variable, Ann. Acad. Sci. Fenn. Math. Ser. A I, 272 (1959), 1-9. Zbl0090.05302MR124487
8. GRECO, L. - SBORDONE, C. - TROMBETTI, C., A note on $W_{\text{loc}}^{1,1}$ planar homeomorphisms, Rend. Accad. Sc. Fis. Mat. Napoli, LXXIII (2006), 419-421. MR2459335
9. HENCL, S. - KOSKELA, P., Regularity of the Inverse of a Planar Sobolev Homeomorphism, Arch. Ration. Mech. Anal., 180 (2006), 75-95. Zbl1151.30325MR2211707DOI10.1007/s00205-005-0394-1
10. HENCL, S. - KOSKELA, P. - MALÝ, J., Regularity of the inverse of a Sobolev homeomorphism in space, Proc. Roy. Soc. Edinburgh Sect. A, 136 (6) (2006), 1267-1285. Zbl1122.30015MR2290133DOI10.1017/S0308210500004972
11. HENCL, S. - KOSKELA, P. - ONNINEN, J., A note on extremal mappings of finite distortion, Math. Res. Lett., 12 (2005), 231-238. Zbl1079.30024MR2150879DOI10.4310/MRL.2005.v12.n2.a8
12. HENCL, S. - KOSKELA, P. - ONNINEN, J., Homeomorphisms of Bounded Variation, Arch. Rational Mech. Anal., 186 (2007), 351-360. Zbl1155.26007MR2350361DOI10.1007/s00205-007-0056-6
13. HENCL, S. - MOSCARIELLO, G. - PASSARELLI DI NAPOLI, A. - SBORDONE, C., Bi-Sobolev mappings and elliptic equations in the plane, J. Math. Anal. Appl., 355 (2009), 22-32. Zbl1169.30007MR2514448DOI10.1016/j.jmaa.2009.01.026
14. IWANIEC, T. - MARTIN, G., Geometric Function Theory and Non-linear Analysis, Oxford Math. Monogr., Oxford Univ. Press (2001). MR1859913
15. LEHTO, O. - VIRTANEN, K., Quasiconformal Mappings in the Plane (Springer-Verlag, Berlin, 1971). Zbl0267.30016MR344463
16. MOSCARIELLO, G. - PASSARELLI DI NAPOLI, A. - SBORDONE, C., ACL-homeomorphisms in the plane, Oper. Theory Adv. Appl., 193 (2009), 215-225. Zbl1193.30031MR2766071DOI10.1007/978-3-7643-9898-9_16
17. RICKMAN, S., Quasiregular mappings, Ergebnisse der Mathematik und ihrer Grenzgebiete, 26 (3) (Springer-Verlag, Berlin, 1993). MR1238941DOI10.1007/978-3-642-78201-5

1. Costantino Capozzoli, Omeomorfismi con distorsione finita ed applicazioni alla $\mathrm{\Gamma }$-convergenza