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
top- [1] P. Concus - R. Finn, On capillary free surfaces in the absence of gravity, Acta Math., 132 (1974), pp. 177-198. Zbl0382.76003MR670441
 - [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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