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Volumn 341, Issue 3, 2008, Pages 629-650

Gradient estimates for elliptic systems in non-smooth domains

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EID: 42749093064     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-008-0207-6     Document Type: Article
Times cited : (42)

References (28)
  • 1
    • 33846833574 scopus 로고    scopus 로고
    • Gradient estimates for a class of parabolic systems
    • 2
    • Acerbi, E., Mingione, G.: Gradient estimates for a class of parabolic systems. Duke Math. J. 136(2), 285-320 (2007)
    • (2007) Duke Math. J. , vol.136 , pp. 285-320
    • Acerbi, E.1    Mingione, G.2
  • 2
    • 0001430761 scopus 로고
    • On BMO regularity for linear elliptic systems
    • Acquistapace, P.: On BMO regularity for linear elliptic systems. Ann. Mat. Pura Appl. (4) 161, 231-269 (1992)
    • (1992) Ann. Mat. Pura Appl. (4) , vol.161 , pp. 231-269
    • Acquistapace, P.1
  • 4
    • 14844329076 scopus 로고    scopus 로고
    • Elliptic equations with BMO coefficients in lipschitz domains
    • 3
    • Byun, S.: Elliptic equations with BMO coefficients in lipschitz domains. Trans. Am. Math. Soc. 357(3), 1025-1046 (2005)
    • (2005) Trans. Am. Math. Soc. , vol.357 , pp. 1025-1046
    • Byun, S.1
  • 5
    • 4544307605 scopus 로고    scopus 로고
    • Elliptic equations with BMO coefficients in reifenberg domains
    • 10
    • Byun, S., Wang, L.: Elliptic equations with BMO coefficients in reifenberg domains. Comm. Pure Appl. Math. 57(10), 1283-1310 (2004)
    • (2004) Comm. Pure Appl. Math. , vol.57 , pp. 1283-1310
    • Byun, S.1    Wang, L.2
  • 6
    • 38949191978 scopus 로고    scopus 로고
    • Quasilinear elliptic equations with BMO coefficients in lipschitz domains
    • 12
    • Byun, S., Wang, L.: Quasilinear elliptic equations with BMO coefficients in lipschitz domains. Trans. Am. Math. Soc. 359(12), 5899- 5913(2007)
    • (2007) Trans. Am. Math. Soc. , vol.359 , pp. 5899-5913
    • Byun, S.1    Wang, L.2
  • 7
    • 34247155235 scopus 로고    scopus 로고
    • Parabolic equations in time dependent reifenberg domains
    • 2
    • Byun, S., Wang, L.: Parabolic equations in time dependent reifenberg domains. Adv. Math 212(2), 797-818 (2007)
    • (2007) Adv. Math , vol.212 , pp. 797-818
    • Byun, S.1    Wang, L.2
  • 9
    • 0009294986 scopus 로고    scopus 로고
    • Second order elliptic equations and elliptic systems
    • American Mathematical Society, Providence
    • Chen, Y., Wu, L.: Second order elliptic equations and elliptic systems. Translations of Mathematical Monographs, vol. 174. American Mathematical Society, Providence (1998)
    • (1998) Translations of Mathematical Monographs , vol.174
    • Chen, Y.1    Wu, L.2
  • 11
    • 1542782912 scopus 로고    scopus 로고
    • p estimates for divergence form elliptic equations with discontinuous coefficients
    • 2
    • p estimates for divergence form elliptic equations with discontinuous coefficients. Boll. Un. Mat. Ital A (7) 10(2), 409-420 (1996)
    • (1996) Boll. Un. Mat. Ital A (7) , vol.10 , pp. 409-420
    • Di Fazio, G.1
  • 14
    • 0030642447 scopus 로고    scopus 로고
    • Traces of Sobolev functions on fractal type sets and characterization of extension domains
    • 1
    • Hajlasz, P., Martio, O.: Traces of Sobolev functions on fractal type sets and characterization of extension domains. J. Funct. Anal. 143(1), 221-246 (1997)
    • (1997) J. Funct. Anal. , vol.143 , pp. 221-246
    • Hajlasz, P.1    Martio, O.2
  • 15
    • 0042456559 scopus 로고    scopus 로고
    • Elliptic partial differential equations
    • New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence
    • Han, Q., Lin, F.: Elliptic partial differential equations. Courant Lecture Notes in Mathematics, vol. 1. New York University, Courant Institute of Mathematical Sciences, New York; American Mathematical Society, Providence (1997)
    • (1997) Courant Lecture Notes in Mathematics , vol.1
    • Han, Q.1    Lin, F.2
  • 16
    • 0005496743 scopus 로고    scopus 로고
    • φ for linear elliptic systems
    • φ for linear elliptic systems. Indiana Univ. Math. J. 45, 397-439 (1996)
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 397-439
    • Huang, Q.1
  • 17
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • John, F., Nirenberg, L.: On functions of bounded mean oscillation. Comm. Pure Appl. Math. 14, 415- 426(1961)
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 415-426
    • John, F.1    Nirenberg, L.2
  • 18
    • 0003016779 scopus 로고
    • Extension theorems for BMO
    • Jones, P.W.: Extension theorems for BMO. Indiana Univ. Math. J. 29, 41-66 (1980)
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 41-66
    • Jones, P.W.1
  • 19
    • 0002428795 scopus 로고
    • Quasiconformal mappings and extendability of functions in sobolev spaces
    • Jones, P.W.: Quasiconformal mappings and extendability of functions in sobolev spaces. Acta Math. 147, 71-88 (1981)
    • (1981) Acta Math. , vol.147 , pp. 71-88
    • Jones, P.W.1
  • 20
    • 0033235413 scopus 로고    scopus 로고
    • Free boundary regularity for harmonic measures and the poisson kernel
    • 2
    • Kenig, C., Toro, T.: Free boundary regularity for harmonic measures and the poisson kernel. Ann. Math. (2) 150(2), 367-454 (1999)
    • (1999) Ann. Math. (2) , vol.150 , pp. 367-454
    • Kenig, C.1    Toro, T.2
  • 21
    • 0037507524 scopus 로고    scopus 로고
    • Poisson kernel characterization of reifenberg flat chord arc domains
    • Kenig, C., Toro, T.: Poisson kernel characterization of reifenberg flat chord arc domains. Ann. Sci. Ecole Norm. Sup. (4) 36, 323-401 (2003)
    • (2003) Ann. Sci. Ecole Norm. Sup. (4) , vol.36 , pp. 323-401
    • Kenig, C.1    Toro, T.2
  • 22
    • 12444265748 scopus 로고    scopus 로고
    • Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains
    • 5
    • Leonardi, S., Kottas, J., Stara, J.: Hölder regularity of the solutions of some classes of elliptic systems in convex nonsmooth domains. Nonlinear Anal. 60(5), 925-944 (2005)
    • (2005) Nonlinear Anal. , vol.60 , pp. 925-944
    • Leonardi, S.1    Kottas, J.2    Stara, J.3
  • 23
    • 33748861644 scopus 로고    scopus 로고
    • Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients
    • 3
    • Palagachev, D., Recke, L., Softova, L.: Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients. Math. Ann. 336(3), 617-637 (2006)
    • (2006) Math. Ann. , vol.336 , pp. 617-637
    • Palagachev, D.1    Recke, L.2    Softova, L.3
  • 24
    • 0036601381 scopus 로고    scopus 로고
    • Local Holder regularity for solutions of elliptic systems
    • 2
    • Ragusa, M.: Local Holder regularity for solutions of elliptic systems. Duke Math. J. 113(2), 385- 397(2002)
    • (2002) Duke Math. J. , vol.113 , pp. 385-397
    • Ragusa, M.1
  • 25
    • 29144454979 scopus 로고    scopus 로고
    • Partial regularity of the minimizers of quadratic functionals with VMO coefficients
    • 3
    • Ragusa, M., Tachikawa, A.: Partial regularity of the minimizers of quadratic functionals with VMO coefficients. J. London Math. Soc. 72(3), 609-620 (2005)
    • (2005) J. London Math. Soc. , vol.72 , pp. 609-620
    • Ragusa, M.1    Tachikawa, A.2
  • 26
    • 0035592918 scopus 로고    scopus 로고
    • Elliptic systems of PDE with BMO-coefficients
    • 3
    • Stroffolini, B.: Elliptic systems of PDE with BMO-coefficients. Potential Anal. 15(3), 285-299 (2001)
    • (2001) Potential Anal. , vol.15 , pp. 285-299
    • Stroffolini, B.1
  • 27
    • 0039455568 scopus 로고    scopus 로고
    • Doubling and flatness: Geometry of measures
    • 9
    • Toro, T.: Doubling and flatness: geometry of measures. Notices Amer. Math. Soc. 44(9), 1087-1094 (1997)
    • (1997) Notices Amer. Math. Soc. , vol.44 , pp. 1087-1094
    • Toro, T.1
  • 28
    • 51249192844 scopus 로고
    • Solutions of the plateau problem for m-dimensional surfaces of varying topological type
    • Reinfenberg, E.: Solutions of the plateau problem for m-dimensional surfaces of varying topological type. Acta Math. 104, 1-92 (1960)
    • (1960) Acta Math. , vol.104 , pp. 1-92
    • Reinfenberg, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.