On solvability of geometric nonlinear problems of the theory of thin shells
type: Item
instance of: scholarly article
title: On solvability of geometric nonlinear problems of the theory of thin shells
zbMATH Open document ID: 0842.73044
published in: Russian Mathematics
publication date: 1996-05-12T00:00:00Z
review text: To study the title problem, we use an application of implicit function theorem. This approach enables us to study wide classes of non-shallow shells in a uniform way. We consider both the earlier studied models and the new complicated versions of geometric nonlinear models of shells. The resolvability of these nonlinear problems for sufficiently small external loads is ensured by coercivity inequalities for the operator of linear theory of shells.
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 35Q72
zbMATH DE Number: 857523
zbMATH Keywords: implicit function theorem
zbMATH Keywords: non-shallow shells
zbMATH Keywords: coercivity inequalities
zbMATH Keywords: operator of linear theory of shells
author: M. M. Karchevsky
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 857523