Lagrange multipliers and variational methods for equilibrium problems of fluids
Barozzi, E. ; Emmer, M. ; González, E. H. A.
Rendiconti del Seminario Matematico della Università di Padova, Tome 86 (1991), p. 35-53 / Harvested from Numdam
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Publié le : 1991-01-01
@article{RSMUP_1991__85__35_0,
     author = {Barozzi, Elisabetta and Emmer, M. and Gonz\'alez, E. H. A.},
     title = {Lagrange multipliers and variational methods for equilibrium problems of fluids},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {86},
     year = {1991},
     pages = {35-53},
     mrnumber = {1142532},
     zbl = {0850.76499},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1991__85__35_0}
}

Barozzi, E.; Emmer, M.; González, E. H. A. Lagrange multipliers and variational methods for equilibrium problems of fluids. Rendiconti del Seminario Matematico della Università di Padova, Tome 86 (1991) pp. 35-53. http://gdmltest.u-ga.fr/item/RSMUP_1991__85__35_0/

[1] S. Albano - E. H. A. GONZALEZ, Rotating Drops, Indiana Univ. Math. J., 32 (1983), 687-701. | MR 711861 | Zbl 0568.76099

[2] E. Barozzi, Il problema di Plateau in domini iltimitati, Rend. Sem. Mat. Univ. Padova, 70 (1983), 89-98. | Numdam | MR 742112 | Zbl 0534.49027

[3] E. Barozzi - E.H.A. Gonzalez, Least Area Problems with a Volume Constraint, in [23], 33-53. | MR 761736 | Zbl 0617.76023

[4] E. Barozzi - E.H.A. Gonzalez, Sul valore minimo del funzionale dell'area con vincolo di volume, Dep. of Math., University of Lecce, report n. 7 (1984).

[5] E. Barozzi- E.H.A. Gonzalez, Mean Curvature and Variational Problems, Rend. Sem. Mat. Univers. Politecn. Torino, Fascicolo Speciale (1989), P. D. E. and Geometry (1988), 131-142. | MR 1086212 | Zbl 0739.49023

[6] E. Barozzi - E.H.A. Gonzalez - I. Tamanini, The Mean Curvature of a Set of Finite Perimeter, Proceedings of the Amer. Math. Soc., 99, n. 2 (February 1987), 313-316. | MR 870791

[7] F. Colombini - E. De Giorgi - L. Piccinini, Frontiere orientate di misura minima e questioni collegate, Editrice Tecnico Scientifica, Pisa, 1972. | Zbl 0296.49031

[8] P. CONCUS - R. FINN (eds.), Variational Methods for Free Surface Interfaces, Springer-Verlag, Berlin, 1987. | MR 872882 | Zbl 0605.00007

[9] G. Congedo - M. EMMER - E. H. A. GONZALEZ, Rotating Drops in a Vessel, Rend. Sem. Mat. Univ. Padova, 70 (1983), 167-186. | Numdam | MR 742117 | Zbl 0545.76110

[10] M. Emmer, Esistenza, unicità e regolarità nelle superfici di equilibrio nei capillari, Ann. Univ. Ferrara, 18 (1973), 79-94. | MR 336507 | Zbl 0275.49005

[11] M. Emmer - E.H.A. Gonzalez - I. Tamanini, A Variational Approach to the Study of Capillarity Phenomena, in Proccedings of the Second International Colloquium on Drops and Bubbles (D. H. Le Croisette Ed.), NASA & Jet Propulsion Laboratory, Pasadena, CA, 1982, 374-379.

[12] M. Emmer - E.H.A. Gonzalez - I. Tamanini, Sets of Finite Perimeter and Capillarity Phenomena, in Free Boundary Problems: Theory and Applications (A. Fasano & M. Primicerio Eds.), Pitman Research Notes in Mathematics, 78 (1983), 29-38. | MR 714903 | Zbl 0534.49028

[13] M. Emmer, A Review of `Equilibrium Capillary Surfaces' by R. Finn, Bull. Amer. Math. Soc., 16 (april 1987), 325-331. | MR 1567618

[14] R. Finn, Equilibrium Capillary Surfaces, Springer Verlag, Berlin, 1986. | MR 816345 | Zbl 0583.35002

[15] C. Gerhardt, On the Capillarity Problem with Constant Volume, Ann. Sc. Norm. Sup. Pisa, 2, serie IV (1975), 303-320. | Numdam | MR 390897 | Zbl 0321.76010

[16] E. Giusti, The pendent water drop, Boll. U.M.I. A (5) 17 (1980), 458-465. | MR 590963 | Zbl 0435.49004

[17] E. Giusti, The Equilibrium Configuration of Liquid Drops, J. Reine Angew. Math., 321 (1981), 53-63. | MR 597979 | Zbl 0438.76078

[18] E. Giusti, Minimal Surfaces and Functions Of Bounded Variation, Birkauser, Boston, 1984. | MR 775682 | Zbl 0545.49018

[19] E.H.A. Gonzalez, Sul problema della goccia appoggiata, Rend. Sem. Mat. Univ. Padova, 55 (1976), 289-302. | Numdam | MR 493670 | Zbl 0361.49027

[20] E.H.A. Gonzalez, Sulla regolaritd della goccia appoggiata, Rend. Sem. Mat. Univ. Padova, 58 (1977), 25-33. | Numdam | Zbl 0414.49033

[21] E.H.A. Gonzalez - I. Tamanini, Convessitdc della goccia appoggiata, Rend. Sem. Mat. Univ. Padova, 58 (1977), 35-43. | Numdam | MR 543127 | Zbl 0417.49050

[22] E.H.A. Gonzalez - U. Massari - I. Tamanini, Existence and Regularity for the Problem of a Pendent Liquid Drop, Pacific J. Math., 88 (1980), 399-420. | MR 607987 | Zbl 0415.49028

[23] E. H. A. GONZALEZ - I. TAMANINI (eds.), Variational Methods for Equilibrium Problems of Fluids, Asterisque 118, Société Mathématique de France (1984). | MR 761734 | Zbl 0544.00035

[24] M. Gruter, Boundary Regularity for Solutions of a Partitioning Problem, Arch. Rat. Mech. Anal., 97 (1987), 261-270. | MR 862549 | Zbl 0613.49029

[25] M.E. Gurtin, On a Theory of Phase Transitions with Interfacial Energy, Arch. Rat. Mech. Anal., 87 (1985), 187-212. | MR 768066

[26] M.E. Gurtin, On Phase Transitions with Bulk, Interfacial, and Boundary Energy, Arch. Rat. Mech. Anal., 96 (1986), 243-264. | MR 855305

[27] U. Hornung - H. Mittelmann, The Augmented Skeleton Method for Parametrizated Surfaces of Liquid Drops, (to appear).

[28] U. Hornung - H. Mittelmann, The Skeleton Method for Capillary Surfaces with Volume Constraints, (to appear).

[29] U. Massari, Esistenza e regolarità delle ipersuperfici di curvatura media assegnata in Rn, Arch. Rat. Mech. Anal., 55 (1974), 357-382. | MR 355766 | Zbl 0305.49047

[30] U. Massari - M. Miranda, Minimal Surfaces of Codimension One, North-Holland, Amsterdam, 1984. | MR 795963 | Zbl 0565.49030

[31] M. Miranda - S. Roberts, Lagrange Multipliers and Geometric Measure Theory, Rend. Sem. Mat. Univ. Padova, 74 (1985), 219-224. | Numdam | MR 818728 | Zbl 0578.49029

[32] I. Tamanini, Boundaries of Caccioppoli sets with Hölder-continuous normaL vector, J. Reine Angew. Math., 334 (1982), 28-39. | MR 667448 | Zbl 0479.49028

[33] I. Tamanini, Variational Problems of Least Area Type with Constraints, Ann. Univ. Ferrara, 39 (1988), 183-217. | MR 1015560 | Zbl 0709.49024