Existence and stability of the solution of a nonlinear boundary value problem
type: Item
instance of: scholarly article
title: Existence and stability of the solution of a nonlinear boundary value problem
zbMATH Open document ID: 1257.35148
DOI: 10.1155/2012/582746
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35B07
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 6134120
author: Agneta M. Balint
author: Stefan Balint
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/582746
OpenAlex ID: W2150276005
Wikidata QID: Q58695597
cites work: Q3811795
cites work: Q3708392
cites work: Almost periodic extensions of functions
description: scientific article; zbMATH DE number 6134120