Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities 论文

摘要

CONTENTS § 1. Introduction. Basic notation § 2. Korn's inequalities in bounded domains § 3. Korn-type inequalities in unbounded domains § 4. Uniqueness theorems of solutions of the main boundary-value problems with finite energy or with a finite Dirichlet integral § 5. Uniqueness theorems under restrictions on the absolute value of the solution in a neighbourhood of infinity § 6. The Dirichlet problem. Uniqueness theorems. Examples § 7. Existence theorems References