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Volumn 132, Issue 1, 1996, Pages 126-139

Monge-Ampère equations on Riemannian manifolds

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EID: 0030595782     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0174     Document Type: Article
Times cited : (18)

References (12)
  • 2
    • 84990580987 scopus 로고
    • The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampère equations
    • 2. L. A. Caffarelli, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampère equations, Comm. Pure Applied Math. 37 (1984), 369-402.
    • (1984) Comm. Pure Applied Math. , vol.37 , pp. 369-402
    • Caffarelli, L.A.1    Nirenberg, L.2    Spruck, J.3
  • 3
    • 84990557319 scopus 로고
    • The Dirichlet problem for non-linear second-order elliptic equations II. Complex Monge-Ampère and uniformly elliptic equations
    • 3. L. A. Caffarelli, J. J. Kohn, L. Nirenberg, and J. Spruck, The Dirichlet problem for non-linear second-order elliptic equations II. Complex Monge-Ampère and uniformly elliptic equations, Comm. Pure Applied Math. 38 (1985), 209-252.
    • (1985) Comm. Pure Applied Math. , vol.38 , pp. 209-252
    • Caffarelli, L.A.1    Kohn, J.J.2    Nirenberg, L.3    Spruck, J.4
  • 4
    • 84973037783 scopus 로고
    • Monge-Ampère equations on convex regions of the plane
    • 4. C. M. Corona, Monge-Ampère equations on convex regions of the plane, Comm. Partial Differential Equations 16 (1991), 43-57.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 43-57
    • Corona, C.M.1
  • 5
    • 84990553687 scopus 로고
    • Classical solutions of fully nonlinear, convex, second order elliptic equations
    • 5. L. C. Evans, Classical solutions of fully nonlinear, convex, second order elliptic equations, Comm. Pure Applied Math. 35 (1982), 333-363.
    • (1982) Comm. Pure Applied Math. , vol.35 , pp. 333-363
    • Evans, L.C.1
  • 6
    • 0000727486 scopus 로고
    • On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary
    • 6. B. Guan, On the existence and regularity of hypersurfaces of prescribed Gauss curvature with boundary, Indiana Univ. Math. J. 44 (1995), 221-241.
    • (1995) Indiana Univ. Math. J. , vol.44 , pp. 221-241
    • Guan, B.1
  • 7
    • 0000978591 scopus 로고
    • n for surfaces of constant Gauss curvature
    • n for surfaces of constant Gauss curvature, Ann. Math. 138 (1993), 601-624.
    • (1993) Ann. Math. , vol.138 , pp. 601-624
    • Guan, B.1    Spruck, J.2
  • 8
    • 0002296910 scopus 로고
    • Boundedly nonhomogeneous elliptic and parabolic equations in a domain
    • 8. N. V. Krylov, Boundedly nonhomogeneous elliptic and parabolic equations in a domain, Izvestia Akad. Nauk. SSSR 47 (1983), 75-108.
    • (1983) Izvestia Akad. Nauk. SSSR , vol.47 , pp. 75-108
    • Krylov, N.V.1
  • 9
    • 84990602643 scopus 로고
    • Some existence results of fully nonlinear elliptic equations of Monge-Ampère type
    • 9. Y. Y. Li, Some existence results of fully nonlinear elliptic equations of Monge-Ampère type, Comm. Pure Applied Math. 43 (1990), 233-271.
    • (1990) Comm. Pure Applied Math. , vol.43 , pp. 233-271
    • Li, Y.Y.1
  • 12
    • 84974054589 scopus 로고
    • On second derivative estimates for equations of Monge-Ampère type
    • 12. N. S. Trudinger and J. I. E. Urbas, On second derivative estimates for equations of Monge-Ampère type, Bull. Austral. Math. Soc. 30 (1984), 321-334.
    • (1984) Bull. Austral. Math. Soc. , vol.30 , pp. 321-334
    • Trudinger, N.S.1    Urbas, J.I.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.