Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
type: Item
instance of: scholarly article
title: Sign change for the Green function and for the first eigenfunction of equations of clamped-plate type
zbMATH Open document ID: 0973.74044
author: Hans-Christoph Grunau
author: Guido Sweers
published in: Archive for Rational Mechanics and Analysis
publication date: 2000-04-26T00:00:00Z
review text: This work examines in which situations the Green function of a biharmonic Dirichlet problem (as it appears as equation of clamped-plate type) is sign-preserving. For the second-order Laplace problem, the authors prove that the positivity-preserving property holds for every domain in the \(n\)-dimensional Euclidean space.
reviewed by: Wilfried Becker
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 1419580
zbMATH Keywords: biharmonic Dirichlet problem
zbMATH Keywords: Green function
zbMATH Keywords: equations of clamped-plate type
zbMATH Keywords: positivity-preserving property
MaRDI profile type: Publication
full work available at URL: s002050050185
OpenAlex ID: W1978396243
DOI: 10.1007/S002050050185
description: scientific article; zbMATH DE number 1419580