Mixed contact problems in plane elasticity. II
type: Item
instance of: scholarly article
title: Mixed contact problems in plane elasticity. II
zbMATH Open document ID: 0555.73097
DOI: 10.4171/ZAA/81
author: D. Kharzeev
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1983-01-01T00:00:00Z
review text: The paper continues the considerations in part I [ibid. 2, 207-234 (1983; Zbl 0531.73076)]. Using N. P. Vekua's theory, the index of the singular integral equation system with discontinuous coefficients obtained in part I is calculated. By establishing some corollaries from the theory of Vekua, the calculations can be simplified. Furthermore, the existence of a \({}^*\)-regular solution of the contact problem is proved, provided that the necessary physical conditions are fulfilled. The existence of \(\epsilon^*\)- or \(\epsilon\)-regular solutions requires supplementary conditions, whose number depends on the index of the singular integral equation system.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 45F15
zbMATH DE Number: 3885476
zbMATH Keywords: epsilon-*-regularity
zbMATH Keywords: epsilon-regularity
zbMATH Keywords: case of eigensolutions
zbMATH Keywords: existence of *-regular solution
zbMATH Keywords: Vekua's theory
zbMATH Keywords: index of the singular integral equation system with discontinuous coefficients
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3885476