A limiting geometry for capillary surfaces

Robert Finn

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 3, page 361-379
  • ISSN: 0391-173X

How to cite

top

Finn, 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. [1] P. Concus - R. Finn, On capillary free surfaces in the absence of gravity, Acta Math., 132 (1974), pp. 177-198. Zbl0382.76003MR670441
  2. [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. [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. [4] R. Finn, Existence and nonexistence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 1-11. Zbl0421.49043MR535691
  5. [5] R. Finn - E. Giusti, Nonexistence and existence of capillary surfaces, Manuscripta Math., 28 (1979), pp. 13-20. Zbl0466.53027MR535692
  6. [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. [7] R. Finn, Existence criteria for capillary free surfaces without gravity, Indiana J. Math., 32 (1983), 439-460. Zbl0487.76012MR697648
  8. [8] R. Finn, A subsidiary variational problem and existence criteria for capillary surfaces, J. Reine Angew. Math., to appear. Zbl0542.49021MR765833
  9. [9] P. Concus - R. Finn, Oontinuous and discontinuous disappearance of capillary surfaces, LawrenceBerkeleyLaboratory preprint. Zbl0612.49028MR872905
  10. [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. [11] E. Giusti, Minimal surfaces and functions of bounded variation, Lecture Notes, Department of Mathematics, Australian National University, Camberra. Zbl0402.49033MR638362
  12. [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. [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. [14] R. Finn, Capillary Free Surfaces, Springer-Verlag (in preparation). Zbl0486.53003
  15. [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. [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. [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. [18] D. Siegel, On the behavior of a capillary surface in a narrow tube, to appear. 
  19. [19] C. Gerhardt, Boundary value problems for surfaces of prescribed mean curvature, J. Math. Pures Appl., 58 (1979), pp. 75-109. Zbl0413.35024MR533236
  20. [20] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., (4), 10 (1974), pp. 317-335. Zbl0314.49019MR365316

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.