On Capillary Free Surfaces without Gravity
Erich Miersemann
Universität Leipzig, Germany
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Abstract
The non-parametric capillary problem in the absence of gravity can be replaced by a Dirichlet problem for a quasilmnear equation of mixed type by introducing a stream function. We prove a maximum principle for an expression depending on the gradient of the stream function and, furthermore, regularity properties of -solutions in domains with corners.
Cite this article
Erich Miersemann, On Capillary Free Surfaces without Gravity. Z. Anal. Anwend. 4 (1985), no. 5, pp. 429–436
DOI 10.4171/ZAA/164