메뉴 건너뛰기




Volumn , Issue 599, 2006, Pages 1-26

Mappings of finite distortion: Capacity and modulus inequalities

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33845383235     PISSN: 00754102     EISSN: 00754102     Source Type: Journal    
DOI: 10.1515/CRELLE.2006.076     Document Type: Article
Times cited : (64)

References (30)
  • 1
    • 84971150728 scopus 로고
    • Global invertibility of Sobolev functions and the interpenetration of matter
    • Ball, J., Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh Sect. A 88, no. 3-4 (1981), 315-328.
    • (1981) Proc. Roy. Soc. Edinburgh Sect. A , vol.88 , Issue.3-4 , pp. 315-328
    • Ball, J.1
  • 3
    • 0001621116 scopus 로고
    • Symmetrization of rings in space
    • Gehring, F. W., Symmetrization of rings in space, Trans. Amer. Math. Soc. 101 (1961), 499-519.
    • (1961) Trans. Amer. Math. Soc. , vol.101 , pp. 499-519
    • Gehring, F.W.1
  • 5
    • 0001367467 scopus 로고
    • Quasiconformal mappings and spaces of functions with generalized first derivatives
    • Russian
    • Gol'dstein, V. M. and Vodop'yanov, S. K., Quasiconformal mappings and spaces of functions with generalized first derivatives (Russian), Sibirsk. Mat. Z. 17 (1976), 515-531.
    • (1976) Sibirsk. Mat. Z. , vol.17 , pp. 515-531
    • Gol'dstein, V.M.1    Vodop'yanov, S.K.2
  • 7
    • 21344488568 scopus 로고
    • Sobolev mappings with integrable dilatations
    • Heinonen, J. and Koskela, P., Sobolev mappings with integrable dilatations, Arch. Rat. Mech. Anal. 125, no. 1 (1993), 81-97.
    • (1993) Arch. Rat. Mech. Anal. , vol.125 , Issue.1 , pp. 81-97
    • Heinonen, J.1    Koskela, P.2
  • 8
    • 0036026837 scopus 로고    scopus 로고
    • Mappings of finite distortion: Hausdorff measure of zero sets
    • Hencl, S. and Malý, J., Mappings of finite distortion: Hausdorff measure of zero sets, Math. Ann. 324, no. 3 (2002), 451-464.
    • (2002) Math. Ann. , vol.324 , Issue.3 , pp. 451-464
    • Hencl, S.1    Malý, J.2
  • 9
    • 0035638729 scopus 로고    scopus 로고
    • Mappings of finite distortion: Monotonicity and continuity
    • Iwaniec, T., Koskela, P. and Onninen, J., Mappings of finite distortion: Monotonicity and continuity, Invent. Math. 144, no. 3 (2001), 507-531.
    • (2001) Invent. Math. , vol.144 , Issue.3 , pp. 507-531
    • Iwaniec, T.1    Koskela, P.2    Onninen, J.3
  • 11
    • 0003303641 scopus 로고    scopus 로고
    • Geometric function theory and non-linear analysis
    • Iwaniec, T. and Martin, G. J., Geometric function theory and non-linear analysis, Oxford Math. Monogr., 2001.
    • (2001) Oxford Math. Monogr.
    • Iwaniec, T.1    Martin, G.J.2
  • 12
    • 84966237866 scopus 로고
    • On mappings with integrable dilatation
    • Iwaniec, T. and Šverak, V., On mappings with integrable dilatation, Proc. Amer. Math. Soc. 118 (1993), 181-188.
    • (1993) Proc. Amer. Math. Soc. , vol.118 , pp. 181-188
    • Iwaniec, T.1    Šverak, V.2
  • 13
    • 0035602793 scopus 로고    scopus 로고
    • Mappings of finite distortion: Discreteness and openness
    • Kauhanen, J., Koskela, P. and Malý, J., Mappings of finite distortion: Discreteness and openness, Arch. Rat. Mech. Anal. 160 (2001), 135-151.
    • (2001) Arch. Rat. Mech. Anal. , vol.160 , pp. 135-151
    • Kauhanen, J.1    Koskela, P.2    Malý, J.3
  • 14
    • 0000251758 scopus 로고    scopus 로고
    • Mappings of finite distortion: Condition N
    • Kauhanen, J., Koskela, P. and Malý, J., Mappings of finite distortion: Condition N, Michigan Math. J. 49, no. 1 (2001), 169-181.
    • (2001) Michigan Math. J. , vol.49 , Issue.1 , pp. 169-181
    • Kauhanen, J.1    Koskela, P.2    Malý, J.3
  • 16
    • 1642407503 scopus 로고    scopus 로고
    • Mappings of finite distortion: The zero set of the Jacobian
    • Koskela, P. and Malý, J., Mappings of finite distortion: The zero set of the Jacobian, J. Eur. Math. Soc. (JEMS) 5, no. 2 (2003), 95-105.
    • (2003) J. Eur. Math. Soc. (JEMS) , vol.5 , Issue.2 , pp. 95-105
    • Koskela, P.1    Malý, J.2
  • 17
    • 0037407979 scopus 로고    scopus 로고
    • Mappings of finite distortion: The sharp modulus of continuity
    • Koskela, P. and Onninen, J., Mappings of finite distortion: The sharp modulus of continuity, Trans. Amer. Math. Soc. 355, no. 5 (2003), 1905-1920.
    • (2003) Trans. Amer. Math. Soc. , vol.355 , Issue.5 , pp. 1905-1920
    • Koskela, P.1    Onninen, J.2
  • 18
    • 33845457261 scopus 로고    scopus 로고
    • Mappings of finite distortion: Injectivity radius of a local homeomorphism. Future trends in geometric function theory
    • Koskela, P., Onninen, J. and Rajala, K., Mappings of finite distortion: Injectivity radius of a local homeomorphism. Future trends in geometric function theory, Rep. Univ. Jyväskylä Dep. Math. Stat. 92 (2003), 169-174.
    • (2003) Rep. Univ. Jyväskylä Dep. Math. Stat. , vol.92 , pp. 169-174
    • Koskela, P.1    Onninen, J.2    Rajala, K.3
  • 20
    • 84967773769 scopus 로고
    • Mappings with integrable dilatation in higher dimensions
    • N.S.
    • Manfredi, J. and Villamor, E., Mappings with integrable dilatation in higher dimensions, Bull. Amer. Math. Soc. (N.S.) 32, no. 2 (1995), 235-240.
    • (1995) Bull. Amer. Math. Soc. , vol.32 , Issue.2 , pp. 235-240
    • Manfredi, J.1    Villamor, E.2
  • 21
    • 0000811925 scopus 로고    scopus 로고
    • An extension of Reshetnyak's theorem
    • Manfredi, J. and Villamor, E., An extension of Reshetnyak's theorem, Indiana Univ. Math. J. 47, no. 3 (1998), 1131-1145.
    • (1998) Indiana Univ. Math. J. , vol.47 , Issue.3 , pp. 1131-1145
    • Manfredi, J.1    Villamor, E.2
  • 22
    • 0013548210 scopus 로고
    • A capacity inequality for quasiregular mappings
    • Martio, O., A capacity inequality for quasiregular mappings, Ann. Acad. Sci. Fenn. (A I) 474 (1970), 18 pp.
    • (1970) Ann. Acad. Sci. Fenn. (A I) , vol.474
    • Martio, O.1
  • 24
    • 0001622752 scopus 로고
    • The method of moduli for nonhomeomorphic quasiconformal mappings
    • Russian, N.S.
    • Poletsky, E. A., The method of moduli for nonhomeomorphic quasiconformal mappings (Russian), Mat. Sb. (N.S.) 83 (1970).
    • (1970) Mat. Sb. , vol.83
    • Poletsky, E.A.1
  • 25
    • 34250521349 scopus 로고
    • Bounds on moduli of continuity for certain mappings
    • Russian
    • Reshetnyak, Yu. G., Bounds on moduli of continuity for certain mappings (Russian), Sibirsk. Mat. Z. 7 (1966), 1106-1114.
    • (1966) Sibirsk. Mat. Z. , vol.7 , pp. 1106-1114
    • Reshetnyak, Yu.G.1
  • 26
    • 27544487658 scopus 로고
    • Space mappings with bounded distortion
    • Russian
    • Reshetnyak, Yu. G., Space Mappings with Bounded Distortion (Russian), Sibirsk. Mat. Z. 8 (1967), 629-658.
    • (1967) Sibirsk. Mat. Z. , vol.8 , pp. 629-658
    • Reshetnyak, Yu.G.1
  • 28
    • 0003359572 scopus 로고
    • Quasiregular mappings
    • Springer-Verlag, Berlin
    • Rickman, S., Quasiregular mappings, Ergebn. Math. Grenzgeb. (3) 26, Springer-Verlag, Berlin 1993.
    • (1993) Ergebn. Math. Grenzgeb. (3) , vol.26
    • Rickman, S.1
  • 29
    • 0002261028 scopus 로고
    • Modulus and capacity inequalities for quasiregular mappings
    • Väisälä, J., Modulus and capacity inequalities for quasiregular mappings, Ann. Acad. Sci. Fenn. (A I) 509 (1972), 14 pp.
    • (1972) Ann. Acad. Sci. Fenn. (A I) , vol.509
    • Väisälä, J.1
  • 30
    • 84856997892 scopus 로고
    • Lectures on n-dimensional quasiconformal mappings
    • Springer-Verlag, Berlin-New York
    • Väisälä, J., Lectures on n-dimensional quasiconformal mappings, Lect. Notes Math. 229, Springer-Verlag, Berlin-New York 1971.
    • (1971) Lect. Notes Math. , vol.229
    • Väisälä, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.