메뉴 건너뛰기




Volumn 21, Issue 2, 2004, Pages 137-155

On the Christoffel-Minkowski problem of Firey's p-sum

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4644370992     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-003-0250-9     Document Type: Article
Times cited : (122)

References (19)
  • 1
    • 84972581369 scopus 로고
    • Convexity of solutions of some semilinear elliptic equations
    • Caffarelli, L.A., Friedman, A.: Convexity of solutions of some semilinear elliptic equations. Duke Math J. 52, 431-455 (1985)
    • (1985) Duke Math J. , vol.52 , pp. 431-455
    • Caffarelli, L.A.1    Friedman, A.2
  • 2
    • 0002106774 scopus 로고
    • Nonlinear second order elliptic equations IV: Starshaped compact Weingarten hypersurfaces
    • Ohya, Y., Kasahare K., Shimakura, N. (eds). Kinokunize, Tokyo
    • Caffarelli, L.A., Nirenberg, L., Spruck, J.: Nonlinear second order elliptic equations IV: Starshaped compact Weingarten hypersurfaces. In: Ohya, Y., Kasahare K., Shimakura, N. (eds) Current topics in partial differential equations, pp. 1-26. Kinokunize, Tokyo 1985
    • (1985) Current Topics in Partial Differential Equations , pp. 1-26
    • Caffarelli, L.A.1    Nirenberg, L.2    Spruck, J.3
  • 3
    • 84980163110 scopus 로고
    • On the regularity of the solutions of the n-dimensional Minkowski problem
    • Cheng, S.Y., Yau, S.T.: On the regularity of the solutions of the n-dimensional Minkowski problem. CommPure Appl. Math. 64, 495-516 (1976)
    • (1976) CommPure Appl. Math. , vol.64 , pp. 495-516
    • Cheng, S.Y.1    Yau, S.T.2
  • 5
    • 0002591338 scopus 로고
    • P-means of convex bodies
    • Firey, W.J.: P-means of convex bodies. Math. Scand. 10, 17-27 (1962)
    • (1962) Math. Scand. , vol.10 , pp. 17-27
    • Firey, W.J.1
  • 6
    • 0000078158 scopus 로고
    • An inequality for hyperbolic polynomials
    • Garding, L.: An inequality for hyperbolic polynomials. J. Math. Mech. 8, 957-965 (1959)
    • (1959) J. Math. Mech. , vol.8 , pp. 957-965
    • Garding, L.1
  • 7
    • 17444421922 scopus 로고    scopus 로고
    • preprint No 2000-7, NCTS in Tsing-Hua University
    • n. preprint No 2000-7, NCTS in Tsing-Hua University, 2000
    • (2000) n
    • Guan, P.F.1    Lin, C.S.2
  • 8
    • 0038610565 scopus 로고    scopus 로고
    • Christoffel-Minkowski problem I: Convexity of solutions of a hessian equation
    • Guan, P.F., Ma, X.N.: Christoffel-Minkowski problem I: convexity of solutions of a hessian equation. Inven. Math. 151, 553-577 (2003)
    • (2003) Inven. Math. , vol.151 , pp. 553-577
    • Guan, P.F.1    Ma, X.N.2
  • 9
    • 0003549965 scopus 로고
    • Elliptic partial differential equations of second order, 2nd edn.
    • Springer, Berlin Heidelberg New York
    • Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order, 2nd edn. Grundlehren der Mathematischen Wissenschaften 224. Springer, Berlin Heidelberg New York 1983
    • (1983) Grundlehren der Mathematischen Wissenschaften , vol.224
    • Gilbarg, D.1    Trudinger, N.S.2
  • 10
    • 0003375517 scopus 로고    scopus 로고
    • Convexity estimates for mean curvature flow and singularities of mean convex surfaces
    • Huisken, G., Sinestrari, C.: Convexity estimates for mean curvature flow and singularities of mean convex surfaces. Acta Math. 183, 45-70 (1999)
    • (1999) Acta Math. , vol.183 , pp. 45-70
    • Huisken, G.1    Sinestrari, C.2
  • 11
    • 0002355785 scopus 로고
    • Convex solutions of certain elliptic equations have constant rank hessians
    • Korevaar, N.J., Lewis, J.: Convex solutions of certain elliptic equations have constant rank hessians. Arch. Rational Mech. Anal. 91, 19-32 (1987)
    • (1987) Arch. Rational Mech. Anal. , vol.91 , pp. 19-32
    • Korevaar, N.J.1    Lewis, J.2
  • 13
    • 84972508818 scopus 로고
    • The Brunn-Minkowski-Firey theory I: Mixed volumes and the Minkowski problem
    • Lutwak, E.: The Brunn-Minkowski-Firey theory I: Mixed volumes and the Minkowski problem. J. Differential Geom. 38, 131-150 (1993)
    • (1993) J. Differential Geom. , vol.38 , pp. 131-150
    • Lutwak, E.1
  • 14
    • 0030600832 scopus 로고    scopus 로고
    • The Brunn-Minkowski-Firey theory II: Affine and geominimal surface areas
    • Lutwak, E.: The Brunn-Minkowski-Firey theory II: Affine and geominimal surface areas. Adv. in Math. 118, 244-294 (1996)
    • (1996) Adv. in Math. , vol.118 , pp. 244-294
    • Lutwak, E.1
  • 15
    • 84972497535 scopus 로고
    • On the regularity of solutions to a generalization of the Minkowski problem
    • Lutwak, E., Oliker, V.: On the regularity of solutions to a generalization of the Minkowski problem. J. Differential Geom. 41, 227-246 (1995)
    • (1995) J. Differential Geom. , vol.41 , pp. 227-246
    • Lutwak, E.1    Oliker, V.2
  • 19
    • 84972517049 scopus 로고
    • An expansion of convex hypersurfaces
    • Urbas, J.: An expansion of convex hypersurfaces. J. Differential Geom. 33, 91-125 (1991)
    • (1991) J. Differential Geom. , vol.33 , pp. 91-125
    • Urbas, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.