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

Applied Mathematics Letters

Volume

13

Issue

5

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