메뉴 건너뛰기




Volumn 18, Issue 5, 2001, Pages 519-572

Quasiharmonic fields

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000709953     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(00)00058-5     Document Type: Article
Times cited : (105)

References (74)
  • 1
    • 0002221589 scopus 로고
    • Area distortion of quasiconformal mappings
    • Astala K., Area distortion of quasiconformal mappings, Acta Math. 173 (1994) 37-60.
    • (1994) Acta Math. , vol.173 , pp. 37-60
    • Astala, K.1
  • 2
    • 0345756837 scopus 로고    scopus 로고
    • Analytic aspects of quasiconformality
    • Astala K., Analytic aspects of quasiconformality, in: Proc. ICM, Vol. 2, 1998, pp. 617-626.
    • (1998) Proc. ICM , vol.2 , pp. 617-626
    • Astala, K.1
  • 7
    • 0002587885 scopus 로고
    • On linear and nonlinear elliptic boundary value problems in the plane
    • Cremonese (Ed.), (Trieste 1954), Roma
    • Bers L., Nirenberg L., On linear and nonlinear elliptic boundary value problems in the plane, in: Cremonese (Ed.), Conv. Int.le "Eq. Lineari a Derivate Parziali" (Trieste 1954), Roma, 1955, pp. 141-167.
    • (1955) Conv. Int.le "Eq. Lineari a Derivate Parziali" , pp. 141-167
    • Bers, L.1    Nirenberg, L.2
  • 8
    • 0000930026 scopus 로고
    • Nonlinear elliptic and parabolic equations involving measure data
    • Boccardo L., Gallouet T., Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal. 87 (1989) 149-169.
    • (1989) J. Funct. Anal. , vol.87 , pp. 149-169
    • Boccardo, L.1    Gallouet, T.2
  • 9
    • 0001749233 scopus 로고
    • Generalized solution of a system of first order differential equations of elliptic type with discontinuous coefficients
    • Bojarski B., Generalized solution of a system of first order differential equations of elliptic type with discontinuous coefficients, Math. Sb. 43 (1957) 451-503.
    • (1957) Math. Sb. , vol.43 , pp. 451-503
    • Bojarski, B.1
  • 10
  • 11
    • 0002506929 scopus 로고
    • Sharp inequalities for martingales and stochastic integrals
    • Burkholder D., Sharp inequalities for martingales and stochastic integrals, Asterisque 157/158 (1988) 75-94.
    • (1988) Asterisque , vol.157-158 , pp. 75-94
    • Burkholder, D.1
  • 12
    • 0346535679 scopus 로고
    • Fondamenti per una teoria generale delle funzioni pseudoanalitiche di una variabile complessa
    • Caccioppoli R., Fondamenti per una teoria generale delle funzioni pseudoanalitiche di una variabile complessa, Rend, Acc. Naz. Lincei 13 (1952) 197-204.
    • (1952) Rend, Acc. Naz. Lincei , vol.13 , pp. 197-204
    • Caccioppoli, R.1
  • 15
    • 0001763939 scopus 로고
    • Harnack's inequality and mean value inequalities for solutions of degenerate elliptic equations
    • Chanillo S., Wheeden R.L., Harnack's inequality and mean value inequalities for solutions of degenerate elliptic equations, Comm. PDE 11 (10) (1986) 1111-1134.
    • (1986) Comm. PDE , vol.11 , Issue.10 , pp. 1111-1134
    • Chanillo, S.1    Wheeden, R.L.2
  • 16
    • 0001569352 scopus 로고
    • 2,p-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO-coefficients
    • 2,p-solvability of the Dirichlet problem for nondivergence elliptic equations with VMO-coefficients, Trans. Amer. Math. Soc. 336 (1993) 841-853.
    • (1993) Trans. Amer. Math. Soc. , vol.336 , pp. 841-853
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 18
    • 84966219326 scopus 로고
    • Another characterization of BMO
    • Coifman R., Rochberg R., Another characterization of BMO, Proc. AMS 79 (2) (1980) 249-254.
    • (1980) Proc. AMS , vol.79 , Issue.2 , pp. 249-254
    • Coifman, R.1    Rochberg, R.2
  • 19
    • 0000278701 scopus 로고
    • Factorization theorems for Hardy spaces in several variables
    • Coifman R., Rochberg R., Weiss G., Factorization theorems for Hardy spaces in several variables, Ann. Math. 103 (1976) 569-645.
    • (1976) Ann. Math. , vol.103 , pp. 569-645
    • Coifman, R.1    Rochberg, R.2    Weiss, G.3
  • 22
    • 0000724954 scopus 로고
    • Nonlinear elliptic equations with measure data
    • Del Vecchio T., Nonlinear elliptic equations with measure data, Potential Analysis 4 (2) (1995) 185-203.
    • (1995) Potential Analysis , vol.4 , Issue.2 , pp. 185-203
    • Del Vecchio, T.1
  • 23
    • 1542782912 scopus 로고    scopus 로고
    • p-estimates for divergence form elliptic equations with discontinuous coefficients
    • p-estimates for divergence form elliptic equations with discontinuous coefficients, Boll. Un. Mat. It. 7 (1996) 409-420.
    • (1996) Boll. Un. Mat. It. , vol.7 , pp. 409-420
    • Di Fazio, G.1
  • 24
    • 0347165975 scopus 로고    scopus 로고
    • Unpublished manuscript
    • De Giorgi E., Unpublished manuscript, 1996.
    • (1996)
    • De Giorgi, E.1
  • 26
  • 28
    • 0001426733 scopus 로고
    • On the area distortion by quasiconformal mappings
    • Eremenko A., Hamilton D., On the area distortion by quasiconformal mappings, Proc. Amer. Math. Soc. 123 (1995) 2793-2797.
    • (1995) Proc. Amer. Math. Soc. , vol.123 , pp. 2793-2797
    • Eremenko, A.1    Hamilton, D.2
  • 29
    • 0003035995 scopus 로고
    • The local regularity of solutions of degenerate elliptic equations
    • Fabes E.B., Kenig C.E., Serapioni R., The local regularity of solutions of degenerate elliptic equations, Comm. Partial Diff. Equations 7 (1982) 77-116.
    • (1982) Comm. Partial Diff. Equations , vol.7 , pp. 77-116
    • Fabes, E.B.1    Kenig, C.E.2    Serapioni, R.3
  • 30
    • 84968509719 scopus 로고
    • On the Hölder continuity of quasiconformal and elliptic mappings
    • Finn R., Serrin J., On the Hölder continuity of quasiconformal and elliptic mappings, Trans. Amer. Math. Soc. 89 (1958) 1-15.
    • (1958) Trans. Amer. Math. Soc. , vol.89 , pp. 1-15
    • Finn, R.1    Serrin, J.2
  • 32
    • 0032262792 scopus 로고    scopus 로고
    • Irregular solutions of linear degenerate elliptic equations
    • Franchi B., Serapioni R., Serra Cassano F., Irregular solutions of linear degenerate elliptic equations, Potential Analysis 9 (1998) 201-216.
    • (1998) Potential Analysis , vol.9 , pp. 201-216
    • Franchi, B.1    Serapioni, R.2    Serra Cassano, F.3
  • 33
    • 0040216503 scopus 로고    scopus 로고
    • Variational integrals for elliptic complexes
    • Giannetti F., Verde A., Variational integrals for elliptic complexes, Studia Math. 140 (1) (2000) 79-98.
    • (2000) Studia Math. , vol.140 , Issue.1 , pp. 79-98
    • Giannetti, F.1    Verde, A.2
  • 34
    • 0002685489 scopus 로고
    • Limits of the improved integrability of the volume forms
    • Greco L., Iwaniec T., Moscariello G., Limits of the improved integrability of the volume forms, Indiana Univ. Math. J. 44 (2) (1995) 305-339.
    • (1995) Indiana Univ. Math. J. , vol.44 , Issue.2 , pp. 305-339
    • Greco, L.1    Iwaniec, T.2    Moscariello, G.3
  • 36
    • 0001828326 scopus 로고
    • Interpolation of Orlicz spaces
    • Gustavsson J., Peetre J., Interpolation of Orlicz spaces, Studia Math. LX (1977) 33-59.
    • (1977) Studia Math. , vol.60 , pp. 33-59
    • Gustavsson, J.1    Peetre, J.2
  • 37
    • 21344488568 scopus 로고
    • Sobolev mappings with integrable dilatation
    • Heinonen J., Koskela P., Sobolev mappings with integrable dilatation, Arch. Rat. Mech. Anal. 125 (1993) 81-97.
    • (1993) Arch. Rat. Mech. Anal. , vol.125 , pp. 81-97
    • Heinonen, J.1    Koskela, P.2
  • 40
  • 41
    • 0001794480 scopus 로고
    • Quasiregular mappings in even dimension
    • Iwaniec T., Martin G., Quasiregular mappings in even dimension, Acta Math. 170 (1993) 29-81.
    • (1993) Acta Math. , vol.170 , pp. 29-81
    • Iwaniec, T.1    Martin, G.2
  • 42
    • 85026110906 scopus 로고    scopus 로고
    • Riesz Transforms and related singular integrals
    • Iwaniec T., Martin G., Riesz Transforms and related singular integrals, J. Reine Angew. Math. 473 (1996) 25-57.
    • (1996) J. Reine Angew. Math. , vol.473 , pp. 25-57
    • Iwaniec, T.1    Martin, G.2
  • 43
    • 21144464174 scopus 로고
    • On the integrability of the Jacobian under minimal hypotheses
    • Iwaniec T., Sbordone C., On the integrability of the Jacobian under minimal hypotheses, Arch. Rat. Mech. Anal. 119 (1992) 129-143.
    • (1992) Arch. Rat. Mech. Anal. , vol.119 , pp. 129-143
    • Iwaniec, T.1    Sbordone, C.2
  • 44
    • 0032425244 scopus 로고    scopus 로고
    • Riesz transforms and elliptic pde's with VMO coefficients
    • Iwaniec T., Sbordone C., Riesz transforms and elliptic pde's with VMO coefficients, J. d'Analyse Math. 74 (1998) 183-212.
    • (1998) J. D'Analyse Math. , vol.74 , pp. 183-212
    • Iwaniec, T.1    Sbordone, C.2
  • 47
    • 84966237866 scopus 로고
    • On mappings with integrable dilatation
    • Iwaniec T., Šverák 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    Šverák, V.2
  • 48
    • 22644450595 scopus 로고    scopus 로고
    • A study of Jacobians in Hardy-Orlicz spaces
    • Iwaniec T., Verde A., A study of Jacobians in Hardy-Orlicz spaces, Proc. Roy. Soc. Edinburgh 29A (1999) 539-570.
    • (1999) Proc. Roy. Soc. Edinburgh , vol.29 A , pp. 539-570
    • Iwaniec, T.1    Verde, A.2
  • 49
    • 0038509228 scopus 로고
    • Nowhere continuous solutions to elliptic systems
    • John O., Malý J., Stará J., Nowhere continuous solutions to elliptic systems, Comm. Math. Univ. Carolinae 30 (1) (1989) 33-43.
    • (1989) Comm. Math. Univ. Carolinae , vol.30 , Issue.1 , pp. 33-43
    • John, O.1    Malý, J.2    Stará, J.3
  • 50
    • 0000239618 scopus 로고
    • Degenerate elliptic equations with measure data and nonlinear potentials
    • Kilpeläinen T., Maly J., Degenerate elliptic equations with measure data and nonlinear potentials, Ann. Scuola Norm. Sup. Pisa, Ser. IV 19 (1992) 591-613.
    • (1992) Ann. Scuola Norm. Sup. Pisa, Ser. IV , vol.19 , pp. 591-613
    • Kilpeläinen, T.1    Maly, J.2
  • 51
    • 21344460688 scopus 로고    scopus 로고
    • Regularity theory and traces of A̧-harmonic functions
    • Koskela P., Manfredi J., Villamore E., Regularity theory and traces of A̧-harmonic functions, Trans. Amer. Math. Soc. 348 (2) (1996) 755-766.
    • (1996) Trans. Amer. Math. Soc. , vol.348 , Issue.2 , pp. 755-766
    • Koskela, P.1    Manfredi, J.2    Villamore, E.3
  • 53
    • 0031067467 scopus 로고    scopus 로고
    • Quasiconformal solutions to certain first order systems and the proof of a conjecture of G.W. Milton
    • Leonetti F., Nesi V., Quasiconformal solutions to certain first order systems and the proof of a conjecture of G.W. Milton, J. Math. Pures Appl. 76 (1997) 1-16.
    • (1997) J. Math. Pures Appl. , vol.76 , pp. 1-16
    • Leonetti, F.1    Nesi, V.2
  • 54
    • 84967773769 scopus 로고
    • Mappings with integrable dilatation in higher dimensions
    • Manfredi J., Villamor E., Mappings with integrable dilatation in higher dimensions, Bull. Amer. Math. Soc. 32 (1995) 235-240.
    • (1995) Bull. Amer. Math. Soc. , vol.32 , pp. 235-240
    • Manfredi, J.1    Villamor, E.2
  • 55
    • 0001253780 scopus 로고
    • p-estimate for the gradient of solutions of second order elliptic divergence equations
    • p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Sc. Norm. Sup. Pisa 17 (1963) 189-206.
    • (1963) Ann. Sc. Norm. Sup. Pisa , vol.17 , pp. 189-206
    • Meyers, N.1
  • 58
    • 0040144528 scopus 로고
    • Quasiminimi di alcuni funzionali degeneri
    • Modica G., Quasiminimi di alcuni funzionali degeneri, Annali di Matematica (1984) 121-143.
    • (1984) Annali di Matematica , pp. 121-143
    • Modica, G.1
  • 59
    • 0012451437 scopus 로고
    • On the integrability of the Jacobian in Orlicz spaces
    • Moscariello G., On the integrability of the Jacobian in Orlicz spaces, Math. Japonica 40 (2) (1994) 323-329.
    • (1994) Math. Japonica , vol.40 , Issue.2 , pp. 323-329
    • Moscariello, G.1
  • 62
    • 0000028675 scopus 로고
    • Quasilinear elliptic equations with VMO coefficients
    • Palagachev D.K., Quasilinear elliptic equations with VMO coefficients, Trans. Amer. Math. Soc. 347 (1995) 2481-2493.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2481-2493
    • Palagachev, D.K.1
  • 65
    • 14044269318 scopus 로고    scopus 로고
    • New estimates for div-curl products and very weak solutions of pde's
    • Sbordone C., New estimates for div-curl products and very weak solutions of pde's, Ann. Scuola Norm. Sup. Pisa IV XXV (4) (1997) 739-756.
    • (1997) Ann. Scuola Norm. Sup. Pisa , vol.4-25 , Issue.4 , pp. 739-756
    • Sbordone, C.1
  • 66
    • 0000281633 scopus 로고
    • Pathological solutions of elliptic differential equations
    • Serrin J., Pathological solutions of elliptic differential equations, Ann. Sc. Norm. Sup. Pisa 18 (1964) 385-387.
    • (1964) Ann. Sc. Norm. Sup. Pisa , vol.18 , pp. 385-387
    • Serrin, J.1
  • 67
    • 0010567798 scopus 로고
    • Singular solutions to linear elliptic systems
    • Souček J., Singular solutions to linear elliptic systems, Comm. Math. Univ. Carolinae 25 (1984) 273-281.
    • (1984) Comm. Math. Univ. Carolinae , vol.25 , pp. 273-281
    • Souček, J.1
  • 68
    • 0000195746 scopus 로고
    • Le probléme de Dirichlet pour les equations elliptiques du second ordre a coefficients discontinus
    • Stampacchia G., Le probléme de Dirichlet pour les equations elliptiques du second ordre a coefficients discontinus, Ann. Inst. Fourier, Grenoble 15 (1965) 189-258.
    • (1965) Ann. Inst. Fourier, Grenoble , vol.15 , pp. 189-258
    • Stampacchia, G.1
  • 70
  • 71
    • 84974157879 scopus 로고
    • Rank-one convexity does not imply quasiconvexity
    • Šverák V., Rank-one convexity does not imply quasiconvexity, Proc. Royal Soc. Edinburgh 120A (1992) 185-189.
    • (1992) Proc. Royal Soc. Edinburgh , vol.120 A , pp. 185-189
    • Šverák, V.1
  • 72
    • 34250467463 scopus 로고
    • On the regularity of generalized solutions of linear nonuniformly elliptic equations
    • Trudinger N., On the regularity of generalized solutions of linear nonuniformly elliptic equations, Arch. Rat. Mech. Anal. 42 (1971) 51-62.
    • (1971) Arch. Rat. Mech. Anal. , vol.42 , pp. 51-62
    • Trudinger, N.1
  • 73
    • 0002036060 scopus 로고
    • Compactness properties of μ-homeomorphisms
    • Tukia P., Compactness properties of μ-homeomorphisms, Ann. Acad. Sci., Ser. A1 Math. 16 (1991) 47-69.
    • (1991) Ann. Acad. Sci., Ser. A1 Math. , vol.16 , pp. 47-69
    • Tukia, P.1
  • 74
    • 0004034302 scopus 로고    scopus 로고
    • Generalized Analytic Functions
    • Pergamon Press, Oxford
    • Vekua I.N., Generalized Analytic Functions, Pure and Applied Mathematics, Vol. 25, Pergamon Press, Oxford.
    • Pure and Applied Mathematics , vol.25
    • Vekua, I.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.