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A note on the capillary problem. (English) Zbl 0382.76004
The author generalizes a theorem obtained in the paper reviewed above [Zbl 0382.76003].
Reviewer: H. N. V. Temperley

MSC:
76A20 Thin fluid films
35A01 Existence problems for PDEs: global existence, local existence, non-existence
76D99 Incompressible viscous fluids
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[1] Concus, P. &Finn, R., On a class of capillary surfaces,J. Analyse Math., 23 (1970), 65–70. · Zbl 0257.76007 · doi:10.1007/BF02795489
[2] –, On capillary free surfaces in the absence of gravity.Acta Math., 132 (1974), 177–198. · Zbl 0382.76003 · doi:10.1007/BF02392113
[3] Jenkins, H. &Serrin, J., Variational problems of minimal surface type, II: boundary value problems for the minimal surface equation.Arch. Rational Mech. Anal., 21 (1965–6), 321–342. · Zbl 0171.08301
[4] Petrovsky, I. G.,Lectures on Partial Differential Equations (translated from the Russian). Interscience Press, New York, 1954. · Zbl 0059.08402
[5] Spruck, J., Infinite boundary value problems for surfaces of constant mean curvature.Arch. Rational Mech. Anal., 49 (1972–3), 1–31. · Zbl 0263.53008 · doi:10.1007/BF00281471
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