Title
All solutions of the equilibrium capillary surface equation are oscillatory
Document Type
Article
Date of Original Version
5-9-2000
Abstract
In this note, we show that the oscillation of all solutions of the equation extendible to infinity, follows from the oscillation of all solutions of the associated linear equation where g(u/u ≤ m, and either f(u)/u ≥ k or f′(u) ≥ k, for every u ≠ 0 and some m, k > 0. Using these results, we show that all solutions of the equilibrium capillary surface equation are oscillatory. © 2000 Elsevier Science Ltd. All rights reserved.
Publication Title, e.g., Journal
Applied Mathematics Letters
Volume
13
Issue
5
Citation/Publisher Attribution
Kulenović, M. R., and Ć Ljubović. "All solutions of the equilibrium capillary surface equation are oscillatory." Applied Mathematics Letters 13, 5 (2000): 107-110. doi: 10.1016/S0893-9659(00)00041-0.