메뉴 건너뛰기




Volumn 29, Issue 7-8, 2004, Pages 1215-1240

Elliptic systems, singular sets and Dini continuity

Author keywords

Dini continuity; Elliptic systems; Hausdorff dimension; Singular set

Indexed keywords


EID: 8744290736     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-200033734     Document Type: Article
Times cited : (37)

References (18)
  • 2
    • 0012994650 scopus 로고
    • The Dini condition and regularity of weak solutions of elliptic equations
    • Burch, C. C. (1978). The Dini condition and regularity of weak solutions of elliptic equations. J. Differential Equations 30:308-323.
    • (1978) J. Differential Equations , vol.30 , pp. 308-323
    • Burch, C.C.1
  • 3
    • 0037788410 scopus 로고
    • Hölder continuity of the solutions of some nonlinear elliptic systems
    • Campanato, S. (1983). Hölder continuity of the solutions of some nonlinear elliptic systems. Adv. Math. 48:16-43.
    • (1983) Adv. Math. , vol.48 , pp. 16-43
    • Campanato, S.1
  • 4
    • 0001255802 scopus 로고    scopus 로고
    • On the singular set in the Navier-Stokes equations
    • Choe, H. J., Lewis, J. L. (2000). On the singular set in the Navier-Stokes equations. J. Funct. Anal. 175:348-369.
    • (2000) J. Funct. Anal. , vol.175 , pp. 348-369
    • Choe, H.J.1    Lewis, J.L.2
  • 5
    • 0034555619 scopus 로고    scopus 로고
    • Optimal interior partial regularity for nonlinear elliptic systems: The method of A-harmonic approximation
    • Duzaar, F., Grotowski, J. F. (2000). Optimal interior partial regularity for nonlinear elliptic systems: The method of A-harmonic approximation. Manuscripta Math. 103:267-298.
    • (2000) Manuscripta Math. , vol.103 , pp. 267-298
    • Duzaar, F.1    Grotowski, J.F.2
  • 6
    • 0036002543 scopus 로고    scopus 로고
    • Nonlinear elliptic systems with Dini continuous coefficients
    • Duzaar, F., Gastel, A. (2002). Nonlinear elliptic systems with Dini continuous coefficients. Arch. Math. 78:58-73.
    • (2002) Arch. Math. , vol.78 , pp. 58-73
    • Duzaar, F.1    Gastel, A.2
  • 7
    • 0001472207 scopus 로고
    • Almost-everywhere regularity for solutions of nonlinear elliptic systems
    • Giaquinta, M., Modica, G. (1979). Almost-everywhere regularity for solutions of nonlinear elliptic systems. Manuscripta Math. 28:109-158.
    • (1979) Manuscripta Math. , vol.28 , pp. 109-158
    • Giaquinta, M.1    Modica, G.2
  • 8
    • 0007023677 scopus 로고
    • 1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari
    • 1,p e singolarità delle soluzioni deboli di sistemi ellittici non lineari. Boll. Unione Mat. Ital. 2(4):71-76.
    • (1969) Boll. Unione Mat. Ital. , vol.2 , Issue.4 , pp. 71-76
    • Giusti, E.1
  • 9
    • 34250950477 scopus 로고
    • Dimension und äußeres Maß
    • Hausdorff, F. (1918). Dimension und äußeres Maß. Math. Ann. 79:157-179.
    • (1918) Math. Ann. , vol.79 , pp. 157-179
    • Hausdorff, F.1
  • 10
    • 0000191761 scopus 로고    scopus 로고
    • Fully nonlinear elliptic equations and the Dini condition
    • Kovats, J. (1997). Fully nonlinear elliptic equations and the Dini condition. Comm. Partial Differential Equations 22(11-12):1911-1927.
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.11-12 , pp. 1911-1927
    • Kovats, J.1
  • 11
    • 79958087447 scopus 로고    scopus 로고
    • Higher regularity for nonlinear oblique derivative problems in Lipschitz domains
    • Lieberman, G. (2002). Higher regularity for nonlinear oblique derivative problems in Lipschitz domains. Ann. Scuola Norm. Sup. Pisa Cl. Sci. I(V):111-152.
    • (2002) Ann. Scuola Norm. Sup. Pisa Cl. Sci. I(V) , pp. 111-152
    • Lieberman, G.1
  • 12
    • 0038610614 scopus 로고    scopus 로고
    • The singular set of solutions to non-differentiable elliptic systems
    • Mingione, G. (2003a). The singular set of solutions to non-differentiable elliptic systems. Arch. Ration. Mech. Anal. 166:287-301.
    • (2003) Arch. Ration. Mech. Anal. , vol.166 , pp. 287-301
    • Mingione, G.1
  • 13
    • 0347622554 scopus 로고    scopus 로고
    • Bounds for the singular set of solutions to non linear elliptic systems
    • Mingione, G. (2003b). Bounds for the singular set of solutions to non linear elliptic systems. Calc. Var. Partial Differential Equations 18:373-400.
    • (2003) Calc. Var. Partial Differential Equations , vol.18 , pp. 373-400
    • Mingione, G.1
  • 14
    • 0037407945 scopus 로고    scopus 로고
    • Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors
    • Mitrea, M., Taylor, M. E. (2003). Potential theory on Lipschitz domains in Riemannian manifolds: The case of Dini metric tensors. Trans. Amer. Math. Soc. 355:1961-1985.
    • (2003) Trans. Amer. Math. Soc. , vol.355 , pp. 1961-1985
    • Mitrea, M.1    Taylor, M.E.2
  • 16
    • 0004122682 scopus 로고
    • London-New York: Cambridge University Press
    • Rogers, C. A. (1970). Hausdorff Measures. London-New York: Cambridge University Press.
    • (1970) Hausdorff Measures
    • Rogers, C.A.1
  • 17
    • 0001521609 scopus 로고
    • Higher integrability from reverse Hölder inequalities
    • Stredulinsky, E. W. (1980). Higher integrability from reverse Hölder inequalities. Indiana Univ. Math. J. 29:407-413.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 407-413
    • Stredulinsky, E.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.