Dirichlet and Neumann Boundary Problems in Linearized Elastostatics. Existence, Uniqueness, and Regularity
Our approach to boundary problems of finite elastostatics is of local type; hence, it requires the existence of deformations at which the linearized operator is a homeomorphism between suitable Banach spaces. The aim of this chapter is to provide appropriate results of existence, uniqueness, and regularity for the principal boundary problems of linearized elastostatics: namely, for the Dirichlet and Neumann problems.
KeywordsBanach Space Dirichlet Problem Neumann Problem Regularity Theorem Topological Linear Space
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