A limiting geometry for capillary surfaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 11 (1984) no. 3, p. 361-379
@article{ASNSP_1984_4_11_3_361_0,
     author = {Finn, Robert},
     title = {A limiting geometry for capillary surfaces},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 11},
     number = {3},
     year = {1984},
     pages = {361-379},
     zbl = {0564.49022},
     mrnumber = {785617},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1984_4_11_3_361_0}
}
Finn, Robert. A limiting geometry for capillary surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 11 (1984) no. 3, pp. 361-379. http://www.numdam.org/item/ASNSP_1984_4_11_3_361_0/

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

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

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

[4] R. Finn, Existence and nonexistence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 1-11. | MR 535691 | Zbl 0421.49043

[5] R. Finn - E. Giusti, Nonexistence and existence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 13-20. | MR 535692 | Zbl 0466.53027

[6] Jin-Tzu Chen, On the existence of capillary free surfaces in the absence of gravity, Pacific J. Math., 88 (1980), 323-361. | MR 607983 | Zbl 0483.49036

[7] R. Finn, Existence criteria for capillary free surfaces without gravity, Indiana J. Math., 32 (1983), 439-460. | MR 697648 | Zbl 0487.76012

[8] R. Finn, A subsidiary variational problem and existence criteria for capillary surfaces, J. Reine Angew. Math., to appear. | MR 765833 | Zbl 0542.49021

[9] P. Concus - R. Finn, Oontinuous and discontinuous disappearance of capillary surfaces, Lawrence Berkeley Laboratory preprint. | MR 872905

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

[11] E. Giusti, Minimal surfaces and functions of bounded variation, Lecture Notes, Department of Mathematics, Australian National University, Camberra. | MR 638362 | Zbl 0402.49033

[12] R. Finn, Capillarity phenomena, Uspehi Mat. Nauk, 29, No. 4 (178), (1974), pp. 131-152; see also Russian Math. Surveys, 29, No. 4 (1974), pp. 133-153. | MR 484001 | Zbl 0325.76046

[13] R. Finn, The size and shape of equilibrium capillary surfaces, Proc. 2nd Internat. Symp. Drops and Bubbles, Monterey, CA, pp. 280-285; Jet Propulsion Lab., Pasadena, CA, 1981.

[14] R. Finn, Capillary Free Surfaces, Springer-Verlag (in preparation).

[15] M. Emmer, Esistenza, unicità e regolarità delle superfici di equilibrio nei capillari, Ann. Univ. Ferrara Sez. VII (N.S.), 18 (1973), pp. 79-94. | MR 336507 | Zbl 0275.49005

[16] C.E. Delaunay: Sur la surface de révolution dont la courbure moyenne est constante, J. Math. Pures Appl., 6 (1841), pp. 309-315, see also M. Strurm, Note a l'occasion de l'article précédent, ibid, pp. 315-320.

[17] M. Miranda, Dirichlet problems with L1 data for the non-homogeneous minimal surface equation, Indiana Univ. Math. J., 24 (1974), pp. 227-241. | MR 352682 | Zbl 0293.35029

[18] D. Siegel, On the behavior of a capillary surface in a narrow tube, to appear.

[19] C. Gerhardt, Boundary value problems for surfaces of prescribed mean curvature, J. Math. Pures Appl., 58 (1979), pp. 75-109. | MR 533236 | Zbl 0413.35024

[20] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., (4), 10 (1974), pp. 317-335. | MR 365316 | Zbl 0314.49019