On Capillary Free Surfaces without Gravity

  • Erich Miersemann

    Universität Leipzig, Germany


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