Some remarks on overdetermined systems in linear elasticity
type: Item
instance of: scholarly article
title: Some remarks on overdetermined systems in linear elasticity
zbMATH Open document ID: 0631.73003
DOI: 10.1007/BF00127557
published in: Journal of Elasticity
publication date: 1987-01-01T00:00:00Z
review text: Several interesting results in classical elasticity are proved. It is shown that for overdetermined systems in linear elasticity the prescribed data determines the geometry of the domain \(\Omega\) of the validity of the solutions. Conditions under which \(\Omega\) is an open ball, an open ellipsoid, and an open circle are established.
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 4026893
zbMATH Keywords: overdetermined systems
zbMATH Keywords: open ball
zbMATH Keywords: open ellipsoid
zbMATH Keywords: open circle
author: L. E. Payne
reviewed by: Pratap Puri
MaRDI profile type: Publication
cites work: Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
cites work: A symmetry problem in potential theory
cites work: Remark on the preceding paper of Serrin
cites work: Generalized axially symmetric potential theory
description: scientific article; zbMATH DE number 4026893