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 (1981)
- Volume: 65, page 143-162
- ISSN: 0041-8994
Access Full Article
topHow to cite
topEmmer, 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
top- [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] 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] P. Concus - R. FINN, On capillary free surfaces in the absence of gravity, Acta Math., 132 (1974), pp. 177-198. Zbl0382.76003MR670441
- [4] R. Finn, Existence and non existence of capillary surfaces, Man. Math., 28 (1979), pp. 1-11. Zbl0421.49043MR535691
- [5] R. Finn - E. GIUSTI, Non existence and existence of capillary surfaces, Man. Math., 28 (1979), pp. 13-20. Zbl0466.53027MR535692
- [6] J.T. Chen, On the existence of capillary free surfaces in the absence of gravity, Doctoral dissertation, Stanford University, 1979. MR607983
- [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] 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] C. Gerhardt, On the capillarity problem with constant volume, Ann. Sc. Nor. Sup. Pisa, S. IV, 2 (1975), pp. 303-320. Zbl0321.76010MR390897
- [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] E. Giusti, Generalized solutions for the mean curvature equation, to appear. Zbl0461.49024MR607982
- [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] E. Gonzalez - U. Massari - I. Tamanini, On the regularity of boundaries of sets minimizing perimeter with a volume contraint, to appear. Zbl0486.49024MR684753
- [14] M. Miranda, Comportamento delle successioni convergenti di frontiere mini-mali, Rend. Sem. Mat. Padova, 38 (1967), pp. 238-257. Zbl0154.37102MR222735
- [15] R. Finn, Capillarity phenomena, Russian Math. Surveys, 29 (1974), pp. 133-153. Zbl0341.76013MR484001
- [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] L. Pepe, Analiticità delle superfici di equilibrio dei capillari in ogni dimensione, Symp. Math., 14 (1974), pp. 397-402. Zbl0305.35032MR442809
- [18] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. Un. Mat. Ital., 10 (1974), pp. 317-335. Zbl0314.49019MR365316
- [19] I. Tamanini, Il problema della capillarità su domini non regolari, Rend. Sem. Mat. Padova, 56 (1977), pp. 169-191. Zbl0406.76031MR483992
- [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] 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] G. Anzellotti - M. Giaquinta - U. Massari - L. Pepe, Il problema di Plateau, Ed. Tecnico Scientifiche, Pisa (1974).
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.