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A further note on the exterior capillarity problem. (English) Zbl 0323.76005


MSC:

76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
49S05 Variational principles of physics
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References:

[1] Bakker, G.: Kapillarität und Oberflächenspannung. Wien-Harms Handbuch der Experimentalphysik, Vol.6. Leipzig: Akademische Verlagsgesellschaft 1928
[2] Bombieri, E.: Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions. Lecture Notes, New York. Courant Institute of Mathematical Sciences 1970
[3] Concus, P., Finn, R.: On capillary free surfaces in a gravitational field. Acta math.132, 207-224 (1974) · Zbl 0382.76005 · doi:10.1007/BF02392115
[4] Emmer, M.: Esistenza, unicità e regolarità delle superfici di equilibrio nei capillari. Ann. Univ. Ferrara, n. Ser., Sez. VII18, 79-94 (1973) · Zbl 0275.49005
[5] Finn, R., Gerhardt, C.: The internal sphere condition and the capillary problem. To appear in Ann. Mat. pura appl., IV. Ser. · Zbl 0349.49019
[6] Gerhardt, C.: On the exterior capillarity problem. Math. Z.136, 345-349 (1974) · Zbl 0295.76013 · doi:10.1007/BF01213877
[7] Gerhardt, C.: A note on the exterior capillarity problem. Math. Z.142, 203-204 (1975) · Zbl 0313.76004 · doi:10.1007/BF01214953
[8] Gerhardt, C.: Existence and regularity of capillary surfaces. Boll. Un. mat. Ital., IV. Ser.,10, 317-335 (1974) · Zbl 0314.49019
[9] Gerhardt, C.: Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature. Math. Z.139, 173-198 (1974) · Zbl 0316.49005 · doi:10.1007/BF01418314
[10] Gerhardt, C.: On the regularity of solutions to variational problems in BV (?). Math. Z. (to appear) · Zbl 0317.49052
[11] Ladyzhenskaya, O. A., Ural’tseva, N. N.: Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations. Commun. pure appl. Math.23, 677-703 (1969) · Zbl 0193.07202 · doi:10.1002/cpa.3160230409
[12] Trudinger, N. S.: Gradient estimates and mean curvature. Math. Z.131, 165-175 (1973) · Zbl 0253.53003 · doi:10.1007/BF01187224
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