On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero

Michele Emmer

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 65, page 143-162
  • ISSN: 0041-8994

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Emmer, Michele. "On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 143-162. <http://eudml.org/doc/107812>.

@article{Emmer1981,
author = {Emmer, Michele},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {behaviour of surfaces of equilibrium when gravity goes to zero; capillary tubes; perimeter theory},
language = {eng},
pages = {143-162},
publisher = {Seminario Matematico of the University of Padua},
title = {On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero},
url = {http://eudml.org/doc/107812},
volume = {65},
year = {1981},
}

TY - JOUR
AU - Emmer, Michele
TI - On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 65
SP - 143
EP - 162
LA - eng
KW - behaviour of surfaces of equilibrium when gravity goes to zero; capillary tubes; perimeter theory
UR - http://eudml.org/doc/107812
ER -

References

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  1. [1] M. Emmer, Esistenza, unicità e regolarità nelle superfici di equilibrio nei capillari, Ann. dell'Univ. di Ferrara, 18 (1973), pp. 79-94. Zbl0275.49005MR336507
  2. [2] U. Massari - L. PEPE, Su una formulazione variazionale del problema dei capillari in assenza di gravità, Ann. dell'Univ. di Ferrara, 20 (1975), pp. 33-42. Zbl0365.76034MR442808
  3. [3] P. Concus - R. FINN, On capillary free surfaces in the absence of gravity, Acta Math., 132 (1974), pp. 177-198. Zbl0382.76003MR670441
  4. [4] R. Finn, Existence and non existence of capillary surfaces, Man. Math., 28 (1979), pp. 1-11. Zbl0421.49043MR535691
  5. [5] R. Finn - E. GIUSTI, Non existence and existence of capillary surfaces, Man. Math., 28 (1979), pp. 13-20. Zbl0466.53027MR535692
  6. [6] J.T. Chen, On the existence of capillary free surfaces in the absence of gravity, Doctoral dissertation, Stanford University, 1979. MR607983
  7. [7] E. Giusti, Boundary value problems for nonparametric surfaces of prescribed mean curvature, Ann. Sc. Nor. Sup. Pisa, 3 (1976), pp. 501-548. Zbl0344.35036MR482506
  8. [8] E. Giusti, On the equation of surfaces of prescribed mean curvature-existence and uniqueness without boundary condition, Inv. Math., 46 (1978), pp. 111-137. Zbl0381.35035MR487722
  9. [9] C. Gerhardt, On the capillarity problem with constant volume, Ann. Sc. Nor. Sup. Pisa, S. IV, 2 (1975), pp. 303-320. Zbl0321.76010MR390897
  10. [10] C. Gerhardt, Global regularity of the solutions to the capillarity problem, Ann. Sc. Norm. Sup. Pisa, S. IV, 3 (1976), pp. 157-175. Zbl0338.49008MR602007
  11. [11] E. Giusti, Generalized solutions for the mean curvature equation, to appear. Zbl0461.49024MR607982
  12. [12] P. Concus - R. FINN, On the behaviour of a capillary surface in a wedge, Proc. Nat. Acad. Sci., 63 (1969), pp. 292-299. Zbl0219.76104
  13. [13] E. Gonzalez - U. Massari - I. Tamanini, On the regularity of boundaries of sets minimizing perimeter with a volume contraint, to appear. Zbl0486.49024MR684753
  14. [14] M. Miranda, Comportamento delle successioni convergenti di frontiere mini-mali, Rend. Sem. Mat. Padova, 38 (1967), pp. 238-257. Zbl0154.37102MR222735
  15. [15] R. Finn, Capillarity phenomena, Russian Math. Surveys, 29 (1974), pp. 133-153. Zbl0341.76013MR484001
  16. [16] U. Massari, Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in Rn, Arch. Rat. Mech. Anal., 55 (1974), pp. 357-382. Zbl0305.49047MR355766
  17. [17] L. Pepe, Analiticità delle superfici di equilibrio dei capillari in ogni dimensione, Symp. Math., 14 (1974), pp. 397-402. Zbl0305.35032MR442809
  18. [18] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., 10 (1974), pp. 317-335. Zbl0314.49019MR365316
  19. [19] I. Tamanini, Il problema della capillarità su domini non regolari, Rend. Sem. Mat. Padova, 56 (1977), pp. 169-191. Zbl0406.76031MR483992
  20. [20] R. Finn - C. Gerhardt, The internal sphere condition and the capillarity problem, Ann. Mat. Pura ed Appl., S. IV, 112 (1977), pp. 13-31. Zbl0349.49019MR434137
  21. [21] M. Emmer - I. Tamanini, A history of the theory of capillarity action: first part: From the origins to the XVII century, to appear; A history of the theory of capillarity action, second part: From the XVIII century to modern times, to appear. 
  22. [22] G. Anzellotti - M. Giaquinta - U. Massari - L. Pepe, Il problema di Plateau, Ed. Tecnico Scientifiche, Pisa (1974). 

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