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Volumn 5, Issue 2, 2002, Pages 487-509

Observations on W1,p estimates for divergence elliptic equations with VMO coefficients

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EID: 0041733807     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (100)

References (23)
  • 1
    • 77957128250 scopus 로고    scopus 로고
    • Analysis of second order elliptic operators without boundary conditions and with VMO or Hölderian coefficients
    • Academic Press, San Diego, CA
    • J. M. ANGELETTI - S. MAZET - PH. TCHAMITCHIAN, Analysis of second order elliptic operators without boundary conditions and with VMO or Hölderian coefficients. In Multiscale wavelet methods for partial differential equations, pages 495-539. Academic Press, San Diego, CA, 1997.
    • (1997) Multiscale Wavelet Methods for Partial Differential Equations , pp. 495-539
    • Angeletti, J.M.1    Mazet, S.2    Tchamitchian, Ph.3
  • 4
    • 0012416550 scopus 로고    scopus 로고
    • p estimates for nonvariational hypoelliptic operators with VMO coefficients
    • p estimates for nonvariational hypoelliptic operators with VMO coefficients, Trans. Amer. Math. Soc., 352 (2) (2000), 781-822.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.2 , pp. 781-822
    • Bramanti, M.1    Brandolini, L.2
  • 5
    • 0011819688 scopus 로고
    • p regularity for systems of PDEs, with coefficients in VMO
    • Prague, Prometheus, Prague, 1994
    • p regularity for systems of PDEs, with coefficients in VMO. In Nonlinear analysis, function spaces and applications, Vol. 5 (Prague, 1994), pages 1-32, Prometheus, Prague, 1994.
    • (1994) Nonlinear Analysis, Function Spaces and Applications , vol.5 , pp. 1-32
    • Chiarenza, F.1
  • 7
    • 0000427184 scopus 로고
    • 2,p estimates for nondivergence elliptic equations with discontinuous coefficients
    • 2,p estimates for nondivergence elliptic equations with discontinuous coefficients, Ricerche Mat., 40 (1) (1991), 149-168.
    • (1991) Ricerche Mat. , vol.40 , Issue.1 , pp. 149-168
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 8
    • 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 (2) (1993), 841-853.
    • (1993) Trans. Amer. Math. Soc. , vol.336 , Issue.2 , pp. 841-853
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 9
    • 0000278701 scopus 로고
    • Factorization theorems for Hardy spaces in several variables
    • R. R. COIFMAN - R. ROCHBERG - G. WEISS, Factorization theorems for Hardy spaces in several variables, Ann. of Math. (2), 103 (3) (1976), 611-635.
    • (1976) Ann. of Math. (2) , vol.103 , Issue.3 , pp. 611-635
    • Coifman, R.R.1    Rochberg, R.2    Weiss, G.3
  • 10
    • 0001720260 scopus 로고
    • A boundedness criterion for generalized Calderón-Zygmund operators
    • G. DAVID - J. L. JOURNÉ, A boundedness criterion for generalized Calderón-Zygmund operators, Ann. of Math. (2), 120 (2) (1984), 371-397.
    • (1984) Ann. of Math. (2) , vol.120 , Issue.2 , pp. 371-397
    • David, G.1    Journé, J.L.2
  • 11
    • 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. Ital. A (7), 10 (2) (1996), 409-420.
    • (1996) Boll. Un. Mat. Ital. A (7) , vol.10 , Issue.2 , pp. 409-420
    • Di Fazio, G.1
  • 12
    • 85068132681 scopus 로고    scopus 로고
    • Oblique derivative problem for elliptic equations in non-divergence form with VMO coefficients
    • G. DI FAZIO - D. K. PALAGACHEV, Oblique derivative problem for elliptic equations in non-divergence form with VMO coefficients, Comment. Math. Univ. Carolin., 37 (3) (1996), 537-556.
    • (1996) Comment. Math. Univ. Carolin. , vol.37 , Issue.3 , pp. 537-556
    • Di Fazio, G.1    Palagachev, D.K.2
  • 13
    • 0001661927 scopus 로고    scopus 로고
    • Oblique derivative problem for quasilinear elliptic equations with VMO coefficients
    • G. DI FAZIO - D. K. PALAGACHEV, Oblique derivative problem for quasilinear elliptic equations with VMO coefficients, Bull. Austral. Math. Soc., 53 (3) (1996), 501-513.
    • (1996) Bull. Austral. Math. Soc. , vol.53 , Issue.3 , pp. 501-513
    • Di Fazio, G.1    Palagachev, D.K.2
  • 14
    • 0001419120 scopus 로고
    • Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure
    • E. B. FABES - D. S. JERISON - C. E. KENIG, Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure, Ann. of Math. (2), 119 (1) (1984), 121-141.
    • (1984) Ann. of Math. (2) , vol.119 , Issue.1 , pp. 121-141
    • Fabes, E.B.1    Jerison, D.S.2    Kenig, C.E.3
  • 15
    • 85014331464 scopus 로고    scopus 로고
    • Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients
    • D. FAN - SH. LU - D. YANG, Regularity in Morrey spaces of strong solutions to nondivergence elliptic equations with VMO coefficients, Georgian Math. J., 5 (5) (1998), 425-440.
    • (1998) Georgian Math. J. , vol.5 , Issue.5 , pp. 425-440
    • Fan, D.1    Lu, S.H.2    Yang, D.3
  • 16
    • 0032425244 scopus 로고    scopus 로고
    • Riesz transforms and elliptic PDEs with VMO coefficients
    • T. IWANIEC - C. SBORDONE, Riesz transforms and elliptic PDEs with VMO coefficients, J. Anal. Math., 74 (1998), 183-212.
    • (1998) J. Anal. Math. , vol.74 , pp. 183-212
    • Iwaniec, T.1    Sbordone, C.2
  • 17
    • 0000271720 scopus 로고
    • The inhomogeneous Dirichlet problem in Lipschitz domains
    • D. JERISON - C. E. KENIG, The inhomogeneous Dirichlet problem in Lipschitz domains, J. Funct. Anal., 130 (1) (1995), 161-219.
    • (1995) J. Funct. Anal. , vol.130 , Issue.1 , pp. 161-219
    • Jerison, D.1    Kenig, C.E.2
  • 18
    • 0032109091 scopus 로고    scopus 로고
    • Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications
    • A. MAUGERI - D. K. PALAGACHEV - C. VITANZA, Oblique derivative problem for uniformly elliptic operators with VMO coefficients and applications, C. R. Acad. Sci. Paris Sér. I Math., 327 (1) (1998), 53-58.
    • (1998) C. R. Acad. Sci. Paris Sér. I Math. , vol.327 , Issue.1 , pp. 53-58
    • Maugeri, A.1    Palagachev, D.K.2    Vitanza, C.3
  • 19
    • 0042438510 scopus 로고    scopus 로고
    • Complex powers of the Neumann laplacian in lipschitz domains
    • to appear
    • O. MENDEZ - M. MITREA, Complex powers of the Neumann laplacian in lipschitz domains, Math. Nach., 1999, to appear.
    • (1999) Math. Nach.
    • Mendez, O.1    Mitrea, M.2
  • 20
    • 0000028675 scopus 로고
    • Quasilinear elliptic equations with VMO coefficients
    • D. K. PALAGACHEV, Quasilinear elliptic equations with VMO coefficients, Trans. Amer. Math. Soc., 347 (7) (1995), 2481-2493.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , Issue.7 , pp. 2481-2493
    • Palagachev, D.K.1
  • 22
    • 0003242729 scopus 로고
    • On Dirichlet's boundary value problem
    • Springer-Verlag, Berlin
    • CH. G. SIMADER. On Dirichlet's boundary value problem, Springer-Verlag, Berlin, 1972. Lecture Notes in Mathematics, Vol. 268.
    • (1972) Lecture Notes in Mathematics , vol.268
    • Simader, C.H.G.1


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