no. 4
Rotating drops trapped between parallel planes
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 749-762. 
@article{ASNSP_1998_4_26_4_749_0,
     author = {Athanassenas, Maria},
     title = {Rotating drops trapped between parallel planes},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {749--762},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 26},
     number = {4},
     year = {1998},
     mrnumber = {1648582},
     zbl = {0927.76011},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1998_4_26_4_749_0/}
}
TY  - JOUR
AU  - Athanassenas, Maria
TI  - Rotating drops trapped between parallel planes
JO  - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY  - 1998
SP  - 749
EP  - 762
VL  - 26
IS  - 4
PB  - Scuola normale superiore
UR  - http://www.numdam.org/item/ASNSP_1998_4_26_4_749_0/
LA  - en
ID  - ASNSP_1998_4_26_4_749_0
ER  - 
%0 Journal Article
%A Athanassenas, Maria
%T Rotating drops trapped between parallel planes
%J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
%D 1998
%P 749-762
%V 26
%N 4
%I Scuola normale superiore
%U http://www.numdam.org/item/ASNSP_1998_4_26_4_749_0/
%G en
%F ASNSP_1998_4_26_4_749_0
Athanassenas, Maria. Rotating drops trapped between parallel planes. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 26 (1998) no. 4, pp. 749-762. http://www.numdam.org/item/ASNSP_1998_4_26_4_749_0/

[1] S. Albano - E.H.A. Gonzales, Rotating drops, Indiana Univ. Math. J. 32, no. 5 (1983), 687-702. | MR | Zbl

[2] P.E. Appell, "Traité de mécanique rationelle", Vol. 4, Chapter 9. Gauthier-Villars, Paris, 1932.

[3] M. Athanassenas, A free boundary problem for capillary surfaces, Preprint Nr. 164, SFB 256, Univ. Bonn (To appear in Manuscripta Math.) | MR | Zbl

[4] J.E.G. Auchmuty, Existence of axisymmetric equilibrium figures, Arch. Rational Mech. Anal. 65 (1977), 249-261. | MR | Zbl

[5] R.A. Brown - L.E. Scriven, The shapes and stability of captive rotating drops, Philos. Trans. Roy. Soc. London Ser. A 297 (1980), p. 51. | MR | Zbl

[6] L.A. Caffarelli - A. Friedman, The shape of axisymmetric rotating fluid, J. Funct. Anal. 35 (1980), 109-142. | MR | Zbl

[7] S. Chandrasekhar, The stability of a rotating liquid drop, Proc. Roy. Soc. London, Ser. A 286 (1965), 1-26. | MR | Zbl

[8] S. Chandrasekhar, Ellipsoidal figures of equilibrium, New Haven: Yale University Press 1969. | Zbl

[9] G. Congedo, Rotating drops in a vessel. Existence of local minima, Rend. Sem. Mat. Univ. Padova 72 (1984), 135-156. | Numdam | MR | Zbl

[10] G. Congedo - M. Emmer - E.H.A. Gonzalez, Rotating drops in a vessel, Rend. Sem. Mat. Univ. Padova 70 (1983), 167-186. | Numdam | MR | Zbl

[11] G.C. Darwin, On Jacobi's figure of equilibrium for a rotating mass of fluid, Proc. Roy. Soc. London 41 (1886), 319-342. | JFM

[12] Ch. Delaunay, Sur la surface de révolution dont la courbure moyenne est constante, J. Math. Pures Appl. (9) 6 (1841), 309-320.

[13] E. De Giorgi, Sulla proprietá isoperimetrica dell' ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Serie VIII, Vol. V (1958). | Zbl

[14] E. De Giorgi - F. Colombini - L. Piccinini, "Frontiere orientate di misura minima e questioni collegate", Editrice Tecnico Scientifica, Pisa, 1972. | Zbl

[15] E. Giusti, "Minimal surfaces and functions of bounded variation, Birkhäuser Verlag. | MR | Zbl

[16] A. Friedman - B. Turkington, Asymptotic estimates for an axisymmetric rotating fluid, J. Funct. Anal. 37 (1980), 136-163. | MR | Zbl

[17] A. Friedman - B. Turkington, The oblateness of an axisymmetric rotating fluid, Indiana Univ. Math. J. 29 (1980), 777-792. | MR | Zbl

[18] W.V. Yu. W.C. Hsiang, A generalization of a theorem of Delaunay, J. Diff. Geometry 16 (1981), 161-177. | MR | Zbl

[19] E. Holder, Gleichgewichtsfiguren rotierender Fl ussigkeiten mit Oberfl achenspannung, Math. Z. 25 (1926), 188-208. | JFM | MR

[20] C.G.J. Jacobi, Über die Figur des Gleichgewichts, Ann. Physik 33 (1834), 229-238.

[21] L. Lichtenstein, "Gleichgewichtsfiguren der rotierenden Flüssigkeiten ", Berlin: Springer-Verlag, 1933. | JFM | Zbl

[22] R.A. Lyttleton, "The stability of rotating liquid masses", Cambridge University Press 1953. | MR | Zbl

[23] C. Mac Laurin, "A treatise on fluxions", Edinburgh: T.W. & T. Ruddimas, 1742.

[24] U. Massari - M. Miranda, "Minimal surfaces of codimension one", North Holland, Mathematics Studies 91, 1984. | MR | Zbl

[25] J.A.F. Plateau, Experimental and theoretical researches on the figures of equilibrium of a liquid mass withdrawn from the action of gravity, Washington, D.C.: Annual Report of the Board of Regents of the Smithsonian Institution (1863), 270-285.

[26] H. Poincaré, Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation, Acta Math. 7 (1885), 259-302. | JFM

[27] Lord Rayleigh, The equilibrium of revolving liquid under capillary force, Phil. Mag. 28 (1914), 161-170. | JFM

[28] T. Sturzenhecker, Existence of local minima for capillarity problems, J. Geom. Anal. 6 (1996), 135-150. | MR | Zbl