메뉴 건너뛰기




Volumn 90, Issue 1, 2005, Pages 245-272

The conormal derivative problem for elliptic equations with BMO coefficients on reifenberg flat domains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 17744369923     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/S0024611504014960     Document Type: Article
Times cited : (41)

References (34)
  • 1
    • 0001430761 scopus 로고
    • On BMO regularity for linear elliptic systems
    • P. ACQUISTAPACE, 'On BMO regularity for linear elliptic systems', Ann. Mat. Pura Appl. 161 (1992) 231-269.
    • (1992) Ann. Mat. Pura Appl. , vol.161 , pp. 231-269
    • Acquistapace, P.1
  • 4
    • 84881031051 scopus 로고
    • Colloquium Publications 43 (American Mathematical Society, Providence, RI)
    • L. A. CAFFARELLI and X. CABRÉ, Fully nonlinear elliptic equations, Colloquium Publications 43 (American Mathematical Society, Providence, RI, 1995).
    • (1995) Fully Nonlinear Elliptic Equations
    • Caffarelli, L.A.1    Cabré, X.2
  • 5
    • 0041125729 scopus 로고    scopus 로고
    • 1,p estimates for elliptic equations in divergence form
    • 1,p estimates for elliptic equations in divergence form', Comm. Pure Appl. Math. 51 (1998) 1-21.
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 1-21
    • Caffarelli, L.A.1    Peral, I.2
  • 6
    • 34250593672 scopus 로고
    • On the existence of certain singular integrals
    • A. P. CALDERÓN and A. ZYGMUND, 'On the existence of certain singular integrals', Acta. Math. 88 (1952) 85-139.
    • (1952) Acta. Math. , vol.88 , pp. 85-139
    • Calderón, A.P.1    Zygmund, A.2
  • 8
    • 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 (1991) 149-168.
    • (1991) Ricerche Mat. , vol.40 , pp. 149-168
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 9
    • 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
  • 10
    • 0035586323 scopus 로고    scopus 로고
    • Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant
    • G. DAVID, C. KENIG and T. TORO, 'Asymptotically optimally doubling measures and Reifenberg flat sets with vanishing constant', Comm. Pure. Appl. Math. 54 (2001) 385-449.
    • (2001) Comm. Pure. Appl. Math. , vol.54 , pp. 385-449
    • David, G.1    Kenig, C.2    Toro, T.3
  • 11
    • 22844453615 scopus 로고    scopus 로고
    • Reifenberg flat metric spaces, snowballs, and embeddings
    • G. DAVID and T. TORO, 'Reifenberg flat metric spaces, snowballs, and embeddings', Math. Ann. 315 (1999) 641-710.
    • (1999) Math. Ann. , vol.315 , pp. 641-710
    • David, G.1    Toro, T.2
  • 12
    • 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 (1996) 409-420.
    • (1996) Boll. Un. Mat. Ital. A (7) , vol.10 , pp. 409-420
    • Fazio, G.D.I.1
  • 14
    • 0030642447 scopus 로고    scopus 로고
    • Traces of Sobolev functions on fractal type sets and characterization of extension domains
    • P. HAJLASZ and O. MARTIO, 'Traces of Sobolev functions on fractal type sets and characterization of extension domains', J. Funct. Anal. 143 (1997) 221-246.
    • (1997) J. Funct. Anal. , vol.143 , pp. 221-246
    • Hajlasz, P.1    Martio, O.2
  • 15
    • 84975506572 scopus 로고    scopus 로고
    • Sobolev extension domains on metric spaces of homogeneous type
    • P. HARJULEHTO, 'Sobolev extension domains on metric spaces of homogeneous type', Real Anal Exchange 2 (2001) 583-597.
    • (2001) Real Anal Exchange , vol.2 , pp. 583-597
    • Harjulehto, P.1
  • 16
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • F. JOHN and L. NIRENBERG, 'On functions of bounded mean oscillation', Comm. Pure Appl. Math. 14 (1961) 415-426.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 415-426
    • John, F.1    Nirenberg, L.2
  • 17
    • 0003016779 scopus 로고
    • Extension theorems for BMO
    • P. W. JONES, 'Extension theorems for BMO', Indiana Univ. Math. J. 29 (1980) 41-66.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 41-66
    • Jones, P.W.1
  • 18
    • 0002428795 scopus 로고
    • Quasiconformal mappings and extendibility of functions in Sobolev spaces
    • P. W. JONES, 'Quasiconformal mappings and extendibility of functions in Sobolev spaces', Acta. Math. 147 (1981) 71-88.
    • (1981) Acta. Math. , vol.147 , pp. 71-88
    • Jones, P.W.1
  • 19
    • 1842780203 scopus 로고    scopus 로고
    • Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure
    • C. KENIG, 'Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure', J. Fourier Anal. Appl. 3 (1997) 923-931.
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 923-931
    • Kenig, C.1
  • 20
    • 0033235413 scopus 로고    scopus 로고
    • Free boundary regularity for harmonic measures and the Poisson kernel
    • C. KENIG and T. TORO, 'Free boundary regularity for harmonic measures and the Poisson kernel', Ann. of Math. 150 (1999) 367-454.
    • (1999) Ann. of Math. , vol.150 , pp. 367-454
    • Kenig, C.1    Toro, T.2
  • 21
    • 0036322657 scopus 로고    scopus 로고
    • Free boundary regularity for the Poisson kernel below the continuous threshold
    • C. KENIG and T. TORO, 'Free boundary regularity for the Poisson kernel below the continuous threshold', Math. Res. Lett. 54 (2002) 247-253.
    • (2002) Math. Res. Lett. , vol.54 , pp. 247-253
    • Kenig, C.1    Toro, T.2
  • 22
    • 0004808366 scopus 로고
    • The conormal derivative problem for elliptic equations of variational type
    • G. M. LIEBERMAN, 'The conormal derivative problem for elliptic equations of variational type', J. Differential Equations 49 (1983) 218-257.
    • (1983) J. Differential Equations , vol.49 , pp. 218-257
    • Lieberman, G.M.1
  • 23
    • 0000405695 scopus 로고
    • Boundary regularity for solutions of degenerate elliptic equations
    • G. M. LIEBERMAN, 'Boundary regularity for solutions of degenerate elliptic equations', J. Differential Equations 12 (1988) 1203-1219.
    • (1988) J. Differential Equations , vol.12 , pp. 1203-1219
    • Lieberman, G.M.1
  • 24
    • 8844242627 scopus 로고
    • The conormal derivative problem for equations of variational type in nonsmooth domains
    • G. M. LIEBERMAN, 'The conormal derivative problem for equations of variational type in nonsmooth domains', Trans. Amer. Math. Soc. 330 (1992) 41-67.
    • (1992) Trans. Amer. Math. Soc. , vol.330 , pp. 41-67
    • Lieberman, G.M.1
  • 25
    • 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. Scuola Norm. Sup. Pisa (3) 17 (1963) 189-206.
    • (1963) Ann. Scuola Norm. Sup. Pisa (3) , vol.17 , pp. 189-206
    • Meyers, N.G.1
  • 27
    • 51249192844 scopus 로고
    • Solutions of the plateau problem for m-dimensional surfaces of varying topological type
    • E. REINFENBERG, 'Solutions of the plateau problem for m-dimensional surfaces of varying topological type', Acta Math. 104 (1960) 1-92.
    • (1960) Acta Math. , vol.104 , pp. 1-92
    • Reinfenberg, E.1
  • 28
    • 84946916764 scopus 로고
    • Functions of vanishing mean oscillation
    • D. SARASON, 'Functions of vanishing mean oscillation', Trans. Amer. Math. Soc. 207 (1975) 391-405.
    • (1975) Trans. Amer. Math. Soc. , vol.207 , pp. 391-405
    • Sarason, D.1
  • 30
    • 0034356650 scopus 로고    scopus 로고
    • Oblique derivative problem for parabolic operators with VMO coefficients
    • L. S. SOFTOVA, 'Oblique derivative problem for parabolic operators with VMO coefficients', Manuscripta Math. 103 (2000) 203-220.
    • (2000) Manuscripta Math. , vol.103 , pp. 203-220
    • Softova, L.S.1
  • 31
    • 4544223607 scopus 로고    scopus 로고
    • Quasilinear parabolic equations with VMO coefficients
    • L. S. SOFTOVA, 'Quasilinear parabolic equations with VMO coefficients', C. R. Acad. Bulgare Sci. 53 (2000) 17-20.
    • (2000) C. R. Acad. Bulgare Sci. , vol.53 , pp. 17-20
    • Softova, L.S.1
  • 32
    • 52549116250 scopus 로고    scopus 로고
    • Parabolic equations with VMO coefficients in Morrey spaces
    • L. S. SOFTOVA, 'Parabolic equations with VMO coefficients in Morrey spaces', Electron. J. Differential Equations 51 (2001) 1-25.
    • (2001) Electron. J. Differential Equations , vol.51 , pp. 1-25
    • Softova, L.S.1
  • 33
    • 0039455568 scopus 로고    scopus 로고
    • Doubling and flatness: Geometry of measures
    • T. TORO, 'Doubling and flatness: geometry of measures', Notices Amer. Math. Soc. 44 (1997) 1087-1094.
    • (1997) Notices Amer. Math. Soc. , vol.44 , pp. 1087-1094
    • Toro, T.1
  • 34
    • 1442280649 scopus 로고    scopus 로고
    • A geometric approach to the Calderón-Zygmund estimates
    • L. WANG, 'A geometric approach to the Calderón-Zygmund estimates', Acta Math. Sin. (Engl. Ser.) 2 (2003) 381-396.
    • (2003) Acta Math. Sin. (Engl. Ser.) , vol.2 , pp. 381-396
    • Wang, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.