Abstract
The purpose is to find conditions assuring the existence of solutions for a nonlinear, boundary value problem in case of the axis-symmetric Young-Laplace differential equation. The equation describes the capillary surface between two static fluids. Necessary or sufficient conditions are found for the existence of a solution. The static stability of the obtained solution is also analyzed and stability or instability results are revealed. For the NdYAG microfiber growth, by the pulling-down method, numerical illustrations are given.
Citation
Agneta M. Balint. Stefan Balint. "Existence and Stability of the Solution of a Nonlinear Boundary Value Problem." Abstr. Appl. Anal. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/582746
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