@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}, pages = {361--379}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 11}, number = {3}, year = {1984}, mrnumber = {785617}, zbl = {0564.49022}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1984_4_11_3_361_0/} }
TY - JOUR AU - Finn, Robert TI - A limiting geometry for capillary surfaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1984 SP - 361 EP - 379 VL - 11 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1984_4_11_3_361_0/ LA - en ID - ASNSP_1984_4_11_3_361_0 ER -
Finn, Robert. A limiting geometry for capillary surfaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 3, pp. 361-379. http://www.numdam.org/item/ASNSP_1984_4_11_3_361_0/
[1] On capillary free surfaces in the absence of gravity, Acta Math., 132 (1974), pp. 177-198. | MR | Zbl
- ,[2] Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 501-548. | Numdam | MR | Zbl
,[3] On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions, Invent. Math., 46 (1978), pp. 111-137. | MR | Zbl
,[4] Existence and nonexistence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 1-11. | MR | Zbl
,[5] Nonexistence and existence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 13-20. | MR | Zbl
- ,[6] On the existence of capillary free surfaces in the absence of gravity, Pacific J. Math., 88 (1980), 323-361. | MR | Zbl
,[7] Existence criteria for capillary free surfaces without gravity, Indiana J. Math., 32 (1983), 439-460. | MR | Zbl
,[8] A subsidiary variational problem and existence criteria for capillary surfaces, J. Reine Angew. Math., to appear. | MR | Zbl
,[9] Oontinuous and discontinuous disappearance of capillary surfaces, Lawrence Berkeley Laboratory preprint. | MR
- ,[10] Global regularity of the solution to the capillarity problem, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 157-175. | Numdam | MR | Zbl
,[11] Minimal surfaces and functions of bounded variation, Lecture Notes, Department of Mathematics, Australian National University, Camberra. | MR | Zbl
,[12] 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 | Zbl
,[13] 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] Capillary Free Surfaces, Springer-Verlag (in preparation).
,[15] Esistenza, unicità e regolarità delle superfici di equilibrio nei capillari, Ann. Univ. Ferrara Sez. VII (N.S.), 18 (1973), pp. 79-94. | MR | Zbl
,[16] Sur la surface de révolution dont la courbure moyenne est constante, J. Math. Pures Appl., 6 (1841), pp. 309-315, see also , Note a l'occasion de l'article précédent, ibid, pp. 315-320.
:[17] Dirichlet problems with L1 data for the non-homogeneous minimal surface equation, Indiana Univ. Math. J., 24 (1974), pp. 227-241. | MR | Zbl
,[18] On the behavior of a capillary surface in a narrow tube, to appear.
,[19] Boundary value problems for surfaces of prescribed mean curvature, J. Math. Pures Appl., 58 (1979), pp. 75-109. | MR | Zbl
,[20] Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., (4), 10 (1974), pp. 317-335. | MR | Zbl
,