Neumann problem for an operator in elasticity theory
type: Item
instance of: scholarly article
title: Neumann problem for an operator in elasticity theory
zbMATH Open document ID: 0709.73010
DOI: 10.1007/BF01056291
author: E. V. Bulavenko
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The linear theory of elastostatics for nonhomogeneous and anisotropic bodies is considered. The author studies the nonhomogeneous traction problem (the boundary values of the stress vector are given) of both bounded and unbounded domains. In order to include both the cases of physical interest, of two-dimensional and three-dimensional elasticity, the problem is studied in the space \(R^ n\). Under suitable regularity assumptions, the author presents existence and uniqueness results.
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 47A60
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 4167136
zbMATH Keywords: nonhomogeneous traction
zbMATH Keywords: two-dimensional
zbMATH Keywords: three-dimensional
zbMATH Keywords: regularity assumptions
zbMATH Keywords: existence
reviewed by: D. Ieşan
MaRDI profile type: Publication
cites work: On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
full work available at URL: https://doi.org/10.1007/bf01056291
OpenAlex ID: W2081607827
description: scientific article; zbMATH DE number 4167136