Regularity of capillary surfaces over domains with corners: Borderline case
type: Item
instance of: scholarly article
title: Regularity of capillary surfaces over domains with corners: Borderline case
zbMATH Open document ID: 0604.49029
author: Luen-Fai Tam
published in: Pacific Journal of Mathematics
publication date: 1986-01-01T00:00:00Z
review text: Consider the solutions of the capillary surface equation with contact angle boundary condition over domains with corners. It is known that if the corner angle \(2\alpha\) satisfies \(0<2\alpha <\pi\) and \(\alpha +\gamma >\pi /2\) where \(0<\gamma \leq \pi /2\) is the contact angle, then solutions are regular. It is also known that no regularity holds in case \(\alpha +\gamma \leq \pi /2\). In this paper we show that solutions are still regular for the borderline case \(\alpha +\gamma =\pi /2\) at the corner.
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 3975756
zbMATH Keywords: capillary surface
zbMATH Keywords: contact angle boundary condition
zbMATH Keywords: domains with corners
zbMATH Keywords: regularity
zbMATH Keywords: borderline case
MaRDI profile type: Publication
full work available at URL: pjm.1986.124.469
OpenAlex ID: W2041366241
DOI: 10.2140/PJM.1986.124.469
description: scientific article; zbMATH DE number 3975756