A limiting geometry for capillary surfaces
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)
- Volume: 11, Issue: 3, page 361-379
- ISSN: 0391-173X
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topFinn, Robert. "A limiting geometry for capillary surfaces." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.3 (1984): 361-379. <http://eudml.org/doc/83937>.
@article{Finn1984,
author = {Finn, Robert},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {capillary surface; limiting case; existence of a solution surface},
language = {eng},
number = {3},
pages = {361-379},
publisher = {Scuola normale superiore},
title = {A limiting geometry for capillary surfaces},
url = {http://eudml.org/doc/83937},
volume = {11},
year = {1984},
}
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
PB - Scuola normale superiore
VL - 11
IS - 3
SP - 361
EP - 379
LA - eng
KW - capillary surface; limiting case; existence of a solution surface
UR - http://eudml.org/doc/83937
ER -
References
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- [2] E. Giusti, Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 501-548. Zbl0344.35036MR482506
- [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. Zbl0381.35035MR487722
- [4] R. Finn, Existence and nonexistence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 1-11. Zbl0421.49043MR535691
- [5] R. Finn - E. Giusti, Nonexistence and existence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 13-20. Zbl0466.53027MR535692
- [6] Jin-Tzu Chen, On the existence of capillary free surfaces in the absence of gravity, Pacific J. Math., 88 (1980), 323-361. Zbl0483.49036MR607983
- [7] R. Finn, Existence criteria for capillary free surfaces without gravity, Indiana J. Math., 32 (1983), 439-460. Zbl0487.76012MR697648
- [8] R. Finn, A subsidiary variational problem and existence criteria for capillary surfaces, J. Reine Angew. Math., to appear. Zbl0542.49021MR765833
- [9] P. Concus - R. Finn, Oontinuous and discontinuous disappearance of capillary surfaces, LawrenceBerkeleyLaboratory preprint. Zbl0612.49028MR872905
- [10] C. Gerhardt, Global regularity of the solution to the capillarity problem, Ann. Scuola Norm. Sup. Pisa, 3 (1976), pp. 157-175. Zbl0338.49008MR602007
- [11] E. Giusti, Minimal surfaces and functions of bounded variation, Lecture Notes, Department of Mathematics, Australian National University, Camberra. Zbl0402.49033MR638362
- [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. Zbl0325.76046MR484001
- [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). Zbl0486.53003
- [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. Zbl0275.49005MR336507
- [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. Zbl0293.35029MR352682
- [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. Zbl0413.35024MR533236
- [20] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., (4), 10 (1974), pp. 317-335. Zbl0314.49019MR365316
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