@article{ASNSP_1985_4_12_2_225_0, author = {Treibergs, Andrejs}, title = {Existence and convexity for hyperspheres of prescribed mean curvature}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {225--241}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {2}, year = {1985}, mrnumber = {829053}, zbl = {0599.53044}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1985_4_12_2_225_0/} }
TY - JOUR AU - Treibergs, Andrejs TI - Existence and convexity for hyperspheres of prescribed mean curvature JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1985 SP - 225 EP - 241 VL - 12 IS - 2 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1985_4_12_2_225_0/ LA - en ID - ASNSP_1985_4_12_2_225_0 ER -
%0 Journal Article %A Treibergs, Andrejs %T Existence and convexity for hyperspheres of prescribed mean curvature %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1985 %P 225-241 %V 12 %N 2 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1985_4_12_2_225_0/ %G en %F ASNSP_1985_4_12_2_225_0
Treibergs, Andrejs. Existence and convexity for hyperspheres of prescribed mean curvature. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 12 (1985) no. 2, pp. 225-241. http://www.numdam.org/item/ASNSP_1985_4_12_2_225_0/
[1] On the uniqueness of compact solutions for certain elliptic differential equations, Proc. Amer. Math. Soc., 11 (1960), pp. 832-836. | MR | Zbl
,[2] Uniqueness theorems for surfaces in the large I, Vestnik Leningrad Univ., 11 (1956), pp. 19, 5-17 = Amer. Math. Soc. Transl. ser. 2, 21 (1962), pp. 341-354. | MR | Zbl
,[3] Nonlinear Analysis on Manifolds, Monge-Ampere Equations, Springer-Verlag, New York, 1982. | MR | Zbl
,[4] Estimates for solutions of quasilinear elliptic equations connected with problems of geometry in the large, Mat. Sb., 91 (133) (1973), no. 3 = Math. USSR Sb., 20 (173) 3, pp. 348-363. | MR | Zbl
- ,[5] Existence of spherically homeomorphic hypersurfaces in Euclidean Space with prescribed mean curvature, Geometry and Topology, Leningrad, 1 (1974), pp. 3-10. | MR
- ,[6] Convexity of capillary surfaces in outer space, to appear. | MR
- ,[7] Christoffel's problem for general convex bodies, Mathematika, 15 (1968), pp. 7-21. | MR | Zbl
,[8] Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York, 1977. | MR | Zbl
- ,[9] Convex solutions to nonlinear elliptic and parabolic boundary value problems, University of Wisconsin, Math. Res. Ctr. Tech. Rep. 2307 (1981), to appear in Indiana Univ. Math. J. | MR | Zbl
,[10] Hypersurfaces in Rn+1 with prescribed Gaussian curvature and related equations of Monge-Ampere type, preprint (1982). | Zbl
,[11] Extrinsic Geometry of Convex Surfaces, AMS Translations of Mathematical Monographs 35, Providence, 1973, pp. 435-442. | MR | Zbl
,[12] The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A 264, pp. 413-496. | MR | Zbl
,[13] Embedded hyperspheres with prescribed mean curvature, J. Diff. Geom., 18 (1983). | MR | Zbl
- ,