메뉴 건너뛰기




Volumn 150, Issue 2, 1999, Pages 579-604

Hessian measures II

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033235420     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.2307/121089     Document Type: Article
Times cited : (217)

References (30)
  • 3
    • 33646029561 scopus 로고
    • The Dirichlet problem for a complex Monge-Ampère equation
    • E. BEDFORD and B. A. TAYLOR, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math. 37 (1976), 1-44.
    • (1976) Invent. Math. , vol.37 , pp. 1-44
    • Bedford, E.1    Taylor, B.A.2
  • 4
    • 0001927566 scopus 로고
    • A new capacity for plurisubharmonic functions
    • _, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40.
    • (1982) Acta Math. , vol.149 , pp. 1-40
  • 5
    • 0000658663 scopus 로고
    • The Dirichlet problem for nonlinear second order elliptic equations III, functions of the eigenvalues of the Hessian
    • L. CAFFARELLI, L. NIRENBERG, and J. SPRUCK, The 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
  • 6
    • 0000509504 scopus 로고
    • Discontinuité de l'opérateur de monge-ampère complexe
    • U. CEGRELL, Discontinuité de l'opérateur de Monge-Ampère complexe, C. R. Acad. Sci. Paris, Ser. I Math. 296 (1983), 869-871.
    • (1983) C. R. Acad. Sci. Paris, Ser. I Math. , vol.296 , pp. 869-871
    • Cegrell, U.1
  • 9
    • 0031521507 scopus 로고    scopus 로고
    • Generalized solutions of Hessian equations
    • A. COLESANTI and P. SALANI, Generalized solutions of Hessian equations, Bull. Austral. Math. Soc. 56 (1997), 459-466.
    • (1997) Bull. Austral. Math. Soc. , vol.56 , pp. 459-466
    • Colesanti, A.1    Salani, P.2
  • 10
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M. G. CRANDALL, H. ISHII, and P. L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. A.M.S. 27 (1992), 1-67.
    • (1992) Bull. A.M.S. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 12
    • 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. Eqns. 19 (1994), 399-416.
    • (1994) Comm. Partial Diff. Eqns. , vol.19 , pp. 399-416
    • Guan, B.1
  • 15
    • 84990575194 scopus 로고
    • On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs
    • H. ISHII, On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDEs, Comm. Pure Appl. Math. 42 (1989), 15-45.
    • (1989) Comm. Pure Appl. Math. , vol.42 , pp. 15-45
    • Ishii, H.1
  • 16
    • 0009424818 scopus 로고
    • Description of cones of stability generated by differential operators of Monge-Ampère type
    • Russian
    • N. M. IVOCHKINA, Description of cones of stability generated by differential operators of Monge-Ampère type, Mat. Sb. 122 (1983), 265-275 (Russian); English trans. Math. USSR Sb. 50 (1985), 259-268.
    • (1983) Mat. Sb. , vol.122 , pp. 265-275
    • Ivochkina, N.M.1
  • 17
    • 84956236453 scopus 로고
    • N. M. IVOCHKINA, Description of cones of stability generated by differential operators of Monge-Ampère type, Mat. Sb. 122 (1983), 265-275 (Russian); English trans. Math. USSR Sb. 50 (1985), 259-268.
    • (1985) Math. USSR Sb. , vol.50 , pp. 259-268
  • 18
    • 0009408324 scopus 로고
    • Solution of the Dirichlet problem for certain equations of Monge-Ampère type
    • Russian
    • N. M. IVOCHKINA, Solution of the Dirichlet problem for certain equations of Monge-Ampère type, Mat. Sb. 128 (1985), 403-415 (Russian); English trans. Math USSR Sb. 56 (1987), 403-415.
    • (1985) Mat. Sb. , vol.128 , pp. 403-415
    • Ivochkina, N.M.1
  • 19
    • 35348944324 scopus 로고
    • N. M. IVOCHKINA, Solution of the Dirichlet problem for certain equations of Monge-Ampère type, Mat. Sb. 128 (1985), 403-415 (Russian); English trans. Math USSR Sb. 56 (1987), 403-415.
    • (1987) Math USSR Sb. , vol.56 , pp. 403-415
  • 20
  • 21
    • 0002972167 scopus 로고
    • A priori bounds for graphs with prescribed curvatures
    • Academic Press, Boston
    • N. S. TRUDINGER, A priori bounds for graphs with prescribed curvatures, in Analysis, et cetera, Academic Press, Boston, 1990, 667-676.
    • (1990) Analysis, et Cetera , pp. 667-676
    • Trudinger, N.S.1
  • 22
    • 0006460991 scopus 로고
    • The Dirichlet problem for the prescribed curvature equations
    • _, The Dirichlet problem for the prescribed curvature equations, Arch. Rat. Mech. Anal. 111 (1990), 153-179.
    • (1990) Arch. Rat. Mech. Anal. , vol.111 , pp. 153-179
  • 23
    • 0000246937 scopus 로고
    • On the Dirichlet problem for Hessian equations
    • _, On the Dirichlet problem for Hessian equations, Acta Math. 175 (1995), 151-164.
    • (1995) Acta Math. , vol.175 , pp. 151-164
  • 24
    • 0031286702 scopus 로고    scopus 로고
    • On new isoperimetric inequalities and symmetrization
    • _, On new isoperimetric inequalities and symmetrization, J. Reine Angew. Math. 488 (1997), 202-220.
    • (1997) J. Reine Angew. Math. , vol.488 , pp. 202-220
  • 25
    • 0000984499 scopus 로고    scopus 로고
    • Weak solutions of Hessian equations
    • _, Weak solutions of Hessian equations, Comm. Partial Diff. Eqns. 22 (1997), 1251-1261.
    • (1997) Comm. Partial Diff. Eqns. , vol.22 , pp. 1251-1261
  • 26
    • 0009438569 scopus 로고    scopus 로고
    • A Poincaré type inequality for Hessian integrals
    • N. S. TRUDINGER and X.-J. WANG, A Poincaré type inequality for Hessian integrals, Calc. Var. and PDE 6 (1998), 315-328.
    • (1998) Calc. Var. and PDE , vol.6 , pp. 315-328
    • Trudinger, N.S.1    Wang, X.-J.2
  • 27
    • 0000011303 scopus 로고    scopus 로고
    • Hessian measures I
    • _, Hessian measures I, Topol. Meth. in Nonlinear Anal. 10 (1997), 225-239.
    • (1997) Topol. Meth. in Nonlinear Anal. , vol.10 , pp. 225-239
  • 29
    • 0001448662 scopus 로고
    • On the existence of nonclassical solutions for two classes of fully nonlinear elliptic equations
    • J. URBAS, On the existence of nonclassical solutions for two classes of fully nonlinear elliptic equations, Indiana Univ. Math. J. 39 (1990), 355-382.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 355-382
    • Urbas, J.1
  • 30
    • 0002058435 scopus 로고
    • A class of fully nonlinear elliptic equations and related functionals
    • X.-J. WANG, A class of fully nonlinear elliptic equations and related functionals, Indiana Univ. Math. J. 43 (1994), 25-54.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 25-54
    • Wang, X.-J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.