The optimal constant in Wente's \(L^\infty\) estimate
type: Item
instance of: scholarly article
title: The optimal constant in Wente's \(L^\infty\) estimate
zbMATH Open document ID: 0892.35030
published in: Commentarii Mathematici Helvetici
publication date: 1998-02-25T00:00:00Z
review text: The author provides the optimal constant in Wente's inequality [J. Math. Anal. Appl. 26, 318-344 (1969; Zbl 0181.11501)]. In fact, he improves Wente's inequality somewhat, making it more suitable for applications in which optimal results are required. This is demonstrated by establishing an optimal inequality for immersed surfaces of constant mean curvature in \(\mathbb{R}^3\), controlling their diameter in terms of their area and curvature.
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 1121233
zbMATH Keywords: Wente's inequality
author: Peter M. Topping
MaRDI profile type: Publication
full work available at URL: s000140050018
OpenAlex ID: W2098378423
DOI: 10.1007/S000140050018
description: scientific article; zbMATH DE number 1121233