Hypersurfaces of prescribed Weingarten curvature

Mathematische Zeitschrift

Volumn 224, Issue 2, 1997, Pages 167-194

  Gerhardt, Claus ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031484857     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004580     Document Type: Article

References (14)

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4. Caffarelli, L., Nirenberg, L., Spruck, J.: Nonlinear second order elliptic equations IV: Starshaped compact Weingarten hypersurfaces. In: Current topics in partial differential equations, Ohya, Y., Kasahara, K., Shimakura, N., (eds.), Kinokunize, Tokyo, 1985
5. n+1 à courbure de Gauss positive prescrite, Ann. Sci. École Norm. Sup. (4) 18, no 4, 635-649 (1985)
6. Ecker, K., Huisken, G.: Immersed hypersurfaces with constant Weingarten curvature. Math. Ann. 283, 329-332 (1989)
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9. Gerhardt, C.: Closed Weingarten hypersurfaces in space forms. In: Geometric Analysis and the Calculus of Variations, Fort, F., (ed.), International Press, Boston, 1996, pp. 71-98
10. Krylov, N.V.: Nonlinear elliptic and parabolic equations of second order. Reidel, Dordrecht, 1987
11. Mitrinovic, D.S.: Analytic inequalities. Springer, Berlin-Heidelberg-New York, 1970
12. n+1 with prescribed Gaussian curvature and related equations of Monge-Ampère type. Commun. Partial Diff. Equations 9, 807-838 (1984)
13. Treibergs, A.E., Wei, S.W.: Embedded hypersurfaces with prescribed mean curvature. J. Diff. Geom. 18, 513-521 (1983)
14. Urbas, J.I.E.: On the expansion of convex hypersurfaces by symmetric functions of their principal radii of curvature. J. Diff. Geom. 33, 91-125 (1991)