Boundary Value Problems of Finite Elasticity

Focusing on local theorems of existence, uniqueness, and analytic dependence related to boundary value problems in finite elasticity, this book presents a systematic exploration of an n-dimensional generalization of three-dimensional elasticity. It emphasizes simultaneous local existence and uniqueness for compressible elastic bodies while excluding unilateral problems. The text builds on prior work, particularly the application of the inverse function theorem in hyperelasticity. The initial chapter introduces key concepts, while the second offers a technical framework for further developments.