Catenoid-like solutions for the minimal surface equation
type: Item
instance of: scholarly article
title: Catenoid-like solutions for the minimal surface equation
zbMATH Open document ID: 0905.35029
author: Jenn-Fang Hwang
published in: Pacific Journal of Mathematics
publication date: 1999-02-09T00:00:00Z
review text: The author improves his Phragmèn-Lindelöf type theorems for solutions of the minimal surface equation, for domains suitably contained in a half plane [Proc. Am. Math. Soc. 121, 1027-1037 (1994; Zbl 0820.35010)]. Let \(\Omega\) be an unbounded domain with width of polynomial growth and let \(u\) satisfy the minimal surface equation in \(\Omega\). The author finds out an upper bound function for \(u\) and gives an example to illustrate that the upper bound function obtained here is approximately optimal. In fact, the graph of the upper bound function is a generalization of a catenoid.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 53A10
zbMATH DE Number: 1180205
zbMATH Keywords: Phragmèn-Lindelöf type theorems
zbMATH Keywords: upper bound
MaRDI profile type: Publication
full work available at URL: pjm.1998.183.91
OpenAlex ID: W2114737850
DOI: 10.2140/PJM.1998.183.91
description: scientific article; zbMATH DE number 1180205