Level sets of Gauss curvature in surfaces of constant mean curvature
Liang, Fei-Tsen
Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000), p. 1-26 / Harvested from Numdam
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Publié le : 2000-01-01
@article{RSMUP_2000__104__1_0,
     author = {Liang, Fei-Tsen},
     title = {Level sets of Gauss curvature in surfaces of constant mean curvature},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {104},
     year = {2000},
     pages = {1-26},
     mrnumber = {1809346},
     zbl = {1097.53036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2000__104__1_0}
}

Liang, Fei-Tsen. Level sets of Gauss curvature in surfaces of constant mean curvature. Rendiconti del Seminario Matematico della Università di Padova, Tome 104 (2000) pp. 1-26. http://gdmltest.u-ga.fr/item/RSMUP_2000__104__1_0/

[1] H.S. Brascamp - E. LIEB, On extention of the Brunn-Minkowski and Prekoja-Leindler theorems, J. Funct. Anal., 11 (1976), pp. 366-389. | Zbl 0334.26009

[2] L.A. Caffarelli - A. FRIEDMAN, Convexity of solutions of semilinear elliptic equations, Duke. Math. J., 52 (1985), pp. 31-456. | MR 792181 | Zbl 0599.35065

[3] J.T. Chen - W.H. Huang, Convexity of capillary surfaces in outer space, Invent. Math., 67 (1982), pp. 253-259. | MR 665156 | Zbl 0496.76005

[4] R. Finn, Existence criteria for capillary free surfaces without gravity, Indiana Univ. Math. J., 32 (1982), pp. 439-460. | MR 697648 | Zbl 0487.76012

[5] R. Finn, Comparison Principles in Capillarity, Calculus of Variations, Lecture Notes in Mathematics, vol. 1357, Springer-Verlag, 1988. | MR 976235 | Zbl 0692.35006

[6] H. Hopf, Lectures on Differential Geometry in the Large, Lecture Notes in Mathematics, vol. 1000, Springer-Verlag, 1983. | MR 707850 | Zbl 0526.53002

[7] W.H. Huang, Superhamonicity of curvatures for surfaces of constant mean curvature, Pacific J. of Math., 152, no. 2 (1992), pp. 291-318. | MR 1141797 | Zbl 0767.53040

[8] W.H. Huang - CHUN-CHI LIN, Negatively Curved Sets in Surfaces of Constant Mean Curvature in R3, Arch. Rat. Mech. Anal., 141, no. 2 (1998), pp. 105-116. | MR 1615516 | Zbl 0941.53011

[9] N.J. Korevarr, Convex solutions to nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J., 32 (1983), pp. 603-614. | MR 703287 | Zbl 0481.35024

[10] N.J. Korevarr - J.L. Lewis, Convex solutions to nonlinear elliptic equations having constant rank Hessians, Arch. Rat. Mech. Anal., 32 (1987), pp. 19-32. | Zbl 0624.35031

[11] H. Wente, Counterexample to a conjecture of H. Hopf, Pacific J. Math., 121 (1986), pp. 193-243. | MR 815044 | Zbl 0586.53003