Global regularity of the solutions to the capillarity problem
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)
- Volume: 3, Issue: 1, page 157-175
- ISSN: 0391-173X
Access Full Article
topHow to cite
topGerhardt, Claus. "Global regularity of the solutions to the capillarity problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.1 (1976): 157-175. <http://eudml.org/doc/83710>.
@article{Gerhardt1976,
author = {Gerhardt, Claus},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {157-175},
publisher = {Scuola normale superiore},
title = {Global regularity of the solutions to the capillarity problem},
url = {http://eudml.org/doc/83710},
volume = {3},
year = {1976},
}
TY - JOUR
AU - Gerhardt, Claus
TI - Global regularity of the solutions to the capillarity problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 1
SP - 157
EP - 175
LA - eng
UR - http://eudml.org/doc/83710
ER -
References
top- [1] E. Bombieri - E. Giusti, Local estimates for the gradient of non-parametric surfaces of prescribed mean curvature, Comm. Pure Appl. Math., 26 (1973), pp. 381-394. Zbl0266.53042MR344977
- [2] P. Concus - R. Finn, On capillary free surfaces in a gravitational field, Acta Math., 132 (1974), pp. 207-223. Zbl0382.76005MR670443
- [3] C. Gerhardt, Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature, Math. Z., 139 (1974), pp. 173-198. Zbl0316.49005MR437925
- [4] C. Gerhardt, On the capillarity problem with constant volume, Ann. Sc. Norm. Sup. Pisa, S. IV, 2 (1975), pp. 303-320. Zbl0321.76010MR390897
- [5] C. Gerhardt, Hypersurfaces of prescribed mean curvature over obstacles, Math. Z., 133 (1973), pp. 169-185. Zbl0265.35027MR324528
- [6] C. Gerhardt, Existence and regularity of capillary surfaces, Boll. U.M.I., 10 (1974), pp. 317-335. Zbl0314.49019MR365316
- [7] O.A. Ladyzhenskaya - N.N. Ural'ceva, Linear and quasilinear elliptic equations, New York-London, Academic Press (1968). Zbl0164.13002MR244627
- [8] O.A. Ladyzhenskaya - N.N. Ural'ceva, Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations, Comm. Pure Appl. Math., 23 (1969), pp. 677-703. Zbl0193.07202MR265745
- [9] J.H. Michael - L.M. Simon, Sobolev and mean-value inequalities on generalized submanifolds of Rn, Comm. Pure Appl. Math., 26 (1973), pp. 361-379. Zbl0256.53006MR344978
- [10] M. Schechter, On Lp estimates and regularity, I, Am. J. Math., 85 (1963), pp. 1-13. Zbl0113.30603MR188615
- [11] L.M. Simon - J. Spruck, Existence and regularity of a capillary surface with prescribed contact angle, to appear. Zbl0361.35014
- [12] J. Spruck, On the existence of a capillary surface with prescribed contact angle, Comm. Pure Appl. Math., to appear. Zbl0297.76018MR398278
- [13] N.S. Trudinger, Gradient estimates and mean curvature, Math. Z., 131 (1973), pp. 165-175. Zbl0253.53003MR324187
- [14] N.N. Ural'ceva, Nonlinear boundary value problems for equations of minimal surface type, Proc. Steklov Inst. Math., 116 (1971), pp. 227-237. Zbl0232.35042MR364860
- [15] N.N. Ural'ceva, The solvability of the capillarity problem, Vestnik Leningrad Univ. No. 19 Mat. Meh. Astronom. Vyp., 4 (1973), pp. 54-64, Russian. MR638359
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.