Uniqueness of minimal point and its location of capillary free surfaces over convex domain
Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque no. 118  (1984), p. 137-143
@incollection{AST_1984__118__137_0,
     author = {Chen, J.-T.},
     title = {Uniqueness of minimal point and its location of capillary free surfaces over convex domain},
     booktitle = {Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {118},
     year = {1984},
     pages = {137-143},
     zbl = {0546.76036},
     mrnumber = {761743},
     language = {en},
     url = {http://www.numdam.org/item/AST_1984__118__137_0}
}
Chen, J.-T. Uniqueness of minimal point and its location of capillary free surfaces over convex domain, in Variational methods for equilibrum problems of fluids - Trento, 20-25 juin 1983, Astérisque, no. 118 (1984), pp. 137-143. http://www.numdam.org/item/AST_1984__118__137_0/

[1] A. D. Alexandroff, Uniqueness theorems for surfaces in the large, vestnik Leningrad Univ. 11, no. 19 (1956) ; Amer. Math. Soc. transl. (2) 21 (1962), 341-352. | Zbl 0122.39601

[2] J.-T. Chen and W.-H. Huang, Convexity of capillary surfaces in outer spaces, Invent. Math. 61 (1982), 253-259. | Article | MR 665156 | Zbl 0496.76005

[3] J.-T. Chen, On the existence of capillary free surfaces in the absence of gravity, Pacific J. Math. 88 (1980). | MR 607983 | Zbl 0483.49036

[4] P. Concus and R. Finn, On capillary free surfaces in the absence of gravity, Acta Math. 132 (1974), 177-198. | Article | MR 670441 | Zbl 0382.76003

[5] R. Finn, Existence criteria for capillary free surfaces without gravity, preprint (1981). | MR 697648 | Zbl 0487.76012

[6] C. Gerhardt, Global regularity of the solutions to the capillarity problem, Ann. Scuola Norm. Sup. Pisa IV.3 (1976), 157-175. | MR 602007 | Zbl 0338.49008

[7] E. Giusti, On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions, Invent. Math. 46 (1978), 111-137. | Article | MR 487722 | Zbl 0381.35035

[8] E. Giusti, Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Scuola Norm. Sup. Pisa IV.3 (1976), 501-548. | MR 482506 | Zbl 0344.35036

[9] N. Korevaar, Capillary surface convexity above convex domain, preprint (1981). | MR 684757 | Zbl 0481.35023

[10] J. Serrin, The Dirichlet problem for surfaces of constant mean curvature, Proc. London Math. Soc. (3) 21 (1970), 361-384. | Article | MR 275336 | Zbl 0199.16604