메뉴 건너뛰기




Volumn 91, Issue 3, 2005, Pages 655-702

Extremal mappings of finite distortion

Author keywords

[No Author keywords available]

Indexed keywords


EID: 27844463968     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/S0024611505015376     Document Type: Review
Times cited : (123)

References (34)
  • 1
    • 0011280382 scopus 로고
    • On the first boundary value problem for elliptic systems of second order in the plane
    • B. BOJARSKI, 'On the first boundary value problem for elliptic systems of second order in the plane', Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 7 (1959) 565-570.
    • (1959) Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. , vol.7 , pp. 565-570
    • Bojarski, B.1
  • 3
    • 0000808026 scopus 로고
    • Sur un type de transformation analytique généralisant la représentation conforme et définie au moyen de fonctions harmoniques
    • G. CHOQUET, 'Sur un type de transformation analytique généralisant la représentation conforme et définie au moyen de fonctions harmoniques', Bull. Sci. Math. 69 (1945) 156-165.
    • (1945) Bull. Sci. Math. , vol.69 , pp. 156-165
    • Choquet, G.1
  • 4
    • 85067946483 scopus 로고
    • Direct methods in the calculus of variations
    • Springer, Berlin
    • B. DACOROGNA, Direct methods in the calculus of variations, Applied Mathematical Sciences 78 (Springer, Berlin, 1989).
    • (1989) Applied Mathematical Sciences , vol.78
    • Dacorogna, B.1
  • 5
    • 84968496827 scopus 로고
    • Solution of the problem of Plateau
    • J. DOUGLAS, 'Solution of the problem of Plateau', Trans. Amer. Math. Soc. 33 (1931) 231-321.
    • (1931) Trans. Amer. Math. Soc. , vol.33 , pp. 231-321
    • Douglas, J.1
  • 7
    • 0000184055 scopus 로고
    • Quasiconvexity and partial regularity in the calculus of variations
    • L. C. EVANS, 'Quasiconvexity and partial regularity in the calculus of variations', Arch. Rational Mech. Anal. 95 (1986) 227-252.
    • (1986) Arch. Rational Mech. Anal. , vol.95 , pp. 227-252
    • Evans, L.C.1
  • 8
    • 0001690255 scopus 로고
    • Über die verzerrung bei schlichten nichtkonformen abbildungen und über eine damit zusammenhängende erweiterung des picardschen satzes
    • H. GRÖTZSCH, 'Über die Verzerrung bei schlichten nichtkonformen Abbildungen und über eine damit zusammenhängende Erweiterung des Picardschen Satzes', Ber. Verh. Sächs. Akad. Wiss. Leipzig 80 (1928) 503-507.
    • (1928) Ber. Verh. Sächs. Akad. Wiss. Leipzig , vol.80 , pp. 503-507
    • Grötzsch, H.1
  • 9
    • 0030473438 scopus 로고    scopus 로고
    • The Fredholm alternative for second-order linear elliptic systems with VMO coefficients
    • S. S. HABRE, 'The Fredholm alternative for second-order linear elliptic systems with VMO coefficients', Houston J. Math. 22 (1996) 417-433.
    • (1996) Houston J. Math. , vol.22 , pp. 417-433
    • Habre, S.S.1
  • 11
    • 27844451287 scopus 로고    scopus 로고
    • Lie groups, Lie algebras, and representations. An elementary introduction
    • Springer, New York
    • B. C. HALL, Lie groups, Lie algebras, and representations. An elementary introduction, Graduate Texts in Mathematics 222 (Springer, New York, 2003).
    • (2003) Graduate Texts in Mathematics , vol.222
    • Hall, B.C.1
  • 12
    • 23244433172 scopus 로고    scopus 로고
    • A note on extremal mappings of finite distortion
    • S. HENCL, P. KOSKELA and J. ONNINEN, 'A note on extremal mappings of finite distortion', Math. Res. Lett. 12 (2005) 231-238.
    • (2005) Math. Res. Lett. , vol.12 , pp. 231-238
    • Hencl, S.1    Koskela, P.2    Onninen, J.3
  • 13
    • 0011325214 scopus 로고
    • Green's function of multiply connected domain and Dirichlet problem for systems of second order in the plane
    • Function theoretic methods for partial differential equations, Darmstadt, 1976 (ed. V. E. Meister, N. Weck and W. L. Wendland), Springer, Berlin
    • T. IWANIEC, 'Green's function of multiply connected domain and Dirichlet problem for systems of second order in the plane', Function theoretic methods for partial differential equations, Darmstadt, 1976 (ed. V. E. Meister, N. Weck and W. L. Wendland), Lecture Notes in Mathematics 561 (Springer, Berlin, 1976) 261-276.
    • (1976) Lecture Notes in Mathematics , vol.561 , pp. 261-276
    • Iwaniec, T.1
  • 14
    • 0035638729 scopus 로고    scopus 로고
    • Mappings of finite distortion: Monotonicity and continuity
    • T. IWANIEC, P. KOSKELA and J. ONNINEN, 'Mappings of finite distortion: monotonicity and continuity', Invent. Math. 144 (2001) 507-531.
    • (2001) Invent. Math. , vol.144 , pp. 507-531
    • Iwaniec, T.1    Koskela, P.2    Onninen, J.3
  • 16
    • 0003303641 scopus 로고    scopus 로고
    • Geometric function theory and non-linear analysis
    • Oxford University Press
    • T. IWANIEC and G. J. MARTIN, Geometric function theory and non-linear analysis, Oxford Mathematical Monographs (Oxford University Press, 2001).
    • (2001) Oxford Mathematical Monographs
    • Iwaniec, T.1    Martin, G.J.2
  • 17
    • 0000251758 scopus 로고    scopus 로고
    • Mappings of finite distortion: Condition N
    • J. KAUHANEN, P. KOSKELA and J. MALÝ, 'Mappings of finite distortion: condition N', Michigan Math. J. 49 (2001) 169-181.
    • (2001) Michigan Math. J. , vol.49 , pp. 169-181
    • Kauhanen, J.1    Koskela, P.2    Malý, J.3
  • 19
    • 1642407503 scopus 로고    scopus 로고
    • Mappings of finite distortion: The zero set of the Jacobian
    • P. KOSKELA and J. MALÝ, 'Mappings of finite distortion: the zero set of the Jacobian', J. Eur. Math. Soc. 5 (2003) 95-105.
    • (2003) J. Eur. Math. Soc. , vol.5 , pp. 95-105
    • Koskela, P.1    Malý, J.2
  • 21
    • 0041745050 scopus 로고
    • Sur quelques problèmes du calcul des variations
    • M. LAVRENTIEV, 'Sur quelques problèmes du calcul des variations', Ann. Mat. Pura Appl. 4 (1926) 7-78.
    • (1926) Ann. Mat. Pura Appl. , vol.4 , pp. 7-78
    • Lavrentiev, M.1
  • 23
    • 0001302469 scopus 로고
    • On the non-vanishing of the Jacobian in certain one-to-one mappings
    • H. LEWY, 'On the non-vanishing of the Jacobian in certain one-to-one mappings', Bull. Amer. Math. Soc. 42 (1936) 689-692.
    • (1936) Bull. Amer. Math. Soc. , vol.42 , pp. 689-692
    • Lewy, H.1
  • 24
    • 18544382568 scopus 로고    scopus 로고
    • The modulus of the image annuli under univalent harmonic mappings and a conjecture of Nitsche
    • A. LYZZAIK, 'The modulus of the image annuli under univalent harmonic mappings and a conjecture of Nitsche', J. London Math. Soc. (2) 64 (2001) 369-384.
    • (2001) J. London Math. Soc. , vol.64 , Issue.2 , pp. 369-384
    • Lyzzaik, A.1
  • 26
    • 84972497511 scopus 로고
    • Quasiconvexity and the lower semicontinuity of multiple integrals
    • C. B. MORREY, 'Quasiconvexity and the lower semicontinuity of multiple integrals', Pacific J. Math. 2 (1952) 25-53.
    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 27
    • 0007262980 scopus 로고
    • On the modulus of doubly-connected regions under harmonic mappings
    • J. C. NITSCHE, 'On the modulus of doubly-connected regions under harmonic mappings', Amer. Math. Monthly 69 (1962) 781-782.
    • (1962) Amer. Math. Monthly , vol.69 , pp. 781-782
    • Nitsche, J.C.1
  • 28
    • 0036459356 scopus 로고    scopus 로고
    • Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk
    • M. PAVLOVIĆ, 'Boundary correspondence under harmonic quasiconformal homeomorphisms of the unit disk', Ann. Acad. Sci. Fenn. Math. 27 (2002) 365-372.
    • (2002) Ann. Acad. Sci. Fenn. Math. , vol.27 , pp. 365-372
    • Pavlović, M.1
  • 30
    • 0003290528 scopus 로고
    • Space mappings with bounded distortion
    • American Mathematical Society, Providence, RI
    • YU. G. RESHETNYAK, Space mappings with bounded distortion, Translations of Mathematical Monographs 73 (American Mathematical Society, Providence, RI, 1989).
    • (1989) Translations of Mathematical Monographs , vol.73
    • Reshetnyak, Y.U.G.1
  • 31
    • 84951601093 scopus 로고
    • Extremal quasiconformal mappings
    • K. STREBLE, 'Extremal quasiconformal mappings', Results Math. 10 (1986) 168-210.
    • (1986) Results Math. , vol.10 , pp. 168-210
    • Streble, K.1
  • 32
    • 0012440111 scopus 로고
    • Two new characterizations for quasiconformality
    • J. VÄISÄLÄ, 'Two new characterizations for quasiconformality', Ann. Acad. Sci. Fenn. Ser. A I 362 (1965) 1-12.
    • (1965) Ann. Acad. Sci. Fenn. Ser. A I , vol.362 , pp. 1-12
    • Väisälä, J.1
  • 33
    • 85027238366 scopus 로고    scopus 로고
    • Preprint, Syracuse University
    • 1,2', Preprint, Syracuse University, 2004.
    • (2004) 1,2
    • Verchota, G.1
  • 34
    • 0035650193 scopus 로고    scopus 로고
    • Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche
    • A. WEITSMAN, 'Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche', Israel J. Math. 124 (2001) 327-331.
    • (2001) Israel J. Math. , vol.124 , pp. 327-331
    • Weitsman, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.