Abstract CONTENTS Introduction Chapter I. General elliptic boundary-value problems § 1.
The solubility of general elliptic boundary-value problems in domains with conic points § 2 …

Korn's inequalities have played a central role in the development of linear elasticity, not only
in connection with the basic theoretical issues such as existence and uniqueness, but also …

The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

The purpose of this research is to investigate the effects of material inhomogeneity on the
response of linearly elastic isotropic hollow circular cylinders or disks under uniform internal …

This is the first book devoted to a systematic description of the linear theory of piezoelectric
shells and plates theory. The book contains two parts. In the first part, the theories for …

This book is intended to be an introduction to elasticity theory. It is as sumed that the student,
before reading this book, has had courses in me chanics (statics, dynamics) and strength of …

This review article gives a historical overview of some topics related to the classical 2D
biharmonic problem. This problem arises in many physical studies concerning bending of …

Qualitative Estimates For Partial Differential Equations: An Introduction describes an
approach to the use of partial differential equations (PDEs) arising in the modelling of …

Saint-Venant's principle plays a central role in the theory and applications of elasticity. A
comprehensive review of contemporary research on this topic was given by Horgan and …