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Non existence and existence of capillary surfaces. (English) Zbl 0466.53027


MSC:

53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53A05 Surfaces in Euclidean and related spaces
53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
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References:

[1] CHEN, JIN TZU: Doctoral Dissertation, Stanford University, in preparation
[2] CONCUS, P., and R. FINN: On capillary free surfaces in the absence of gravity. Acta Math. 132, 177–198 (1974) · Zbl 0382.76003 · doi:10.1007/BF02392113
[3] FINN, R.: Existence and non existence of capillary surfaces. Manuscripta Math. preceding · Zbl 0421.49043
[4] GIUSTI, E.: On the equation of surfaces of prescribed mean curvature-existence and uniqueness without boundary condition. Invent. Math. 46, 111–137 (1978) · Zbl 0381.35035 · doi:10.1007/BF01393250
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