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Volumn 228, Issue 1, 1998, Pages 73-81

Interior gradient estimates for mean curvature equations

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EID: 0032222399     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004604     Document Type: Article
Times cited : (69)

References (18)
  • 1
    • 84972545636 scopus 로고
    • Interior gradient bounds for the mean curvature equtaion by viscosity solutions methods
    • G. Barles, Interior gradient bounds for the mean curvature equtaion by viscosity solutions methods, Diff. Int. Equa. 4 (1991), 263-275.
    • (1991) Diff. Int. Equa. , vol.4 , pp. 263-275
    • Barles, G.1
  • 2
    • 0001097224 scopus 로고
    • Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
    • E. Bombieri, E. De Giorgi, M. Miranda, Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche, Arch. Rat. Mech. Anal. 32 (1969), 255-267.
    • (1969) Arch. Rat. Mech. Anal. , vol.32 , pp. 255-267
    • Bombieri, E.1    De Giorgi, E.2    Miranda, M.3
  • 3
    • 84990563948 scopus 로고
    • A gradient bound for entire solutions of quasilinear equations and its consequences
    • L. Caffarelli, N. Garofalo, F. Segala, A gradient bound for entire solutions of quasilinear equations and its consequences, Comm. Pure Appl. Math. 47 (1995), 1457-1473.
    • (1995) Comm. Pure Appl. Math. , vol.47 , pp. 1457-1473
    • Caffarelli, L.1    Garofalo, N.2    Segala, F.3
  • 4
    • 0000658663 scopus 로고
    • Dirichlet problem for nonlinear second order elliptic equations III, functions of the eigenvalues of the Hessian
    • L. Caffarelli, L. Nirenberg, J. Spruck, Dirichlet problem for nonlinear second order elliptic equations III, Functions of the eigenvalues of the Hessian, Acta Math. 155 (1985), 261-301.
    • (1985) Acta Math. , vol.155 , pp. 261-301
    • Caffarelli, L.1    Nirenberg, L.2    Spruck, J.3
  • 5
    • 84990587364 scopus 로고
    • Nonlinear second order elliptic equations V. The Dirichlet problem for Weingaten hypersurfaces
    • L. Caffarelli, L. Nirenberg, J, Spruck, Nonlinear second order elliptic equations V. The Dirichlet Problem for Weingaten Hypersurfaces, Comm. Pure Appl. Math. 41 (1988), 47-70.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 47-70
    • Caffarelli, L.1    Nirenberg, L.2    Spruck, J.3
  • 6
    • 0001358839 scopus 로고
    • The Dirichlet problem for a class of fully nonlinear elliptic equations
    • B. Guan, The Dirichlet problem for a class of fully nonlinear elliptic equations. Comm. Partial Diff. Equa. 19 (1994), 399-416.
    • (1994) Comm. Partial Diff. Equa. , vol.19 , pp. 399-416
    • Guan, B.1
  • 7
    • 0013543723 scopus 로고
    • Interior gradient estimates for solutions of prescribed curvature equations of parabolic type
    • B. Guan, J. Spruck, Interior gradient estimates for solutions of prescribed curvature equations of parabolic type, Indiana Univ. Math. J. 40 (1991), 1471-1481.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 1471-1481
    • Guan, B.1    Spruck, J.2
  • 8
    • 0013527570 scopus 로고
    • Estimates for evolutionary surfaces of prescribed mean curvature
    • K. Ecker, Estimates for evolutionary surfaces of prescribed mean curvature, Math. Z. 180 (1982), 179-192.
    • (1982) Math. Z. , vol.180 , pp. 179-192
    • Ecker, K.1
  • 10
    • 0001832886 scopus 로고    scopus 로고
    • An easy proof of the interior gradient bound for solutions to the prescribed mean curvature problem
    • N.J. Korevaar, An easy proof of the interior gradient bound for solutions to the prescribed mean curvature problem, Proc. Symp. Pure Math. 45, part 2, 1986.
    • Proc. Symp. Pure Math. , vol.45 , Issue.PART 2 , pp. 1986
    • Korevaar, N.J.1
  • 11
    • 84990625867 scopus 로고
    • A priori interior gradient bounds for solutions to elliptic Weingarten equations
    • N.J. Korevaar, A priori interior gradient bounds for solutions to elliptic Weingarten equations, Ann. Inst. H. Poincaré, Anal. Nonlinéaire 4 (1987), 405-421.
    • (1987) Ann. Inst. H. Poincaré, Anal. Nonlinéaire , vol.4 , pp. 405-421
    • Korevaar, N.J.1
  • 12
    • 0013510448 scopus 로고
    • Continuity estimates for solutions to the prescribed curvature Dirichlet problem
    • N.J. Korevaar, L. Simon, Continuity estimates for solutions to the prescribed curvature Dirichlet problem, Math. Z. 197 (1987), 457-464.
    • (1987) Math. Z. , vol.197 , pp. 457-464
    • Korevaar, N.J.1    Simon, L.2
  • 13
    • 84963254755 scopus 로고
    • Interior first order derivative estimates for solutions of nonlinear degenerate elliptic equations with constant coefficients
    • N. V. Krylov, Interior first order derivative estimates for solutions of nonlinear degenerate elliptic equations with constant coefficients, Comm. Partial Diff. Equa. 18 (1993), 1-40.
    • (1993) Comm. Partial Diff. Equa. , vol.18 , pp. 1-40
    • Krylov, N.V.1
  • 14
    • 84980187345 scopus 로고
    • Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations
    • O.A. Ladyzhenskaya, N.N. Ural'tseva, Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations, Comm. Pure Appl. Math. 23 (1970), 677-703.
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 677-703
    • Ladyzhenskaya, O.A.1    Ural'tseva, N.N.2
  • 15
    • 0000478450 scopus 로고
    • Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
    • Y.Y. Li, Interior gradient estimates for solutions of certain fully nonlinear elliptic equations, J. Diff. Equa. 90 (1991), 172-185.
    • (1991) J. Diff. Equa. , vol.90 , pp. 172-185
    • Li, Y.Y.1
  • 16
    • 84971690579 scopus 로고
    • On some inequalities for elementary symmetric functions
    • M. Lin, N.S. Trudinger, On some inequalities for elementary symmetric functions, Bull. Aust. Math. Soc. 50 (1994), 317-326.
    • (1994) Bull. Aust. Math. Soc. , vol.50 , pp. 317-326
    • Lin, M.1    Trudinger, N.S.2
  • 17
    • 0013510449 scopus 로고
    • Gradient estimates and mean curvature
    • N.S. Trudinger, Gradient estimates and mean curvature, Math. Z. 131 (1973), 165-175.
    • (1973) Math. Z. , vol.131 , pp. 165-175
    • Trudinger, N.S.1
  • 18
    • 0006460991 scopus 로고
    • The Dirichlet problem for the precribed curvature equations
    • N.S. Trudinger, The Dirichlet problem for the precribed curvature equations, Arch. Rat. Mech. Anal. 111 (1990), 152-179.
    • (1990) Arch. Rat. Mech. Anal. , vol.111 , pp. 152-179
    • Trudinger, N.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.