Existence and Uniqueness of a Solution to an Adaptive Elasticity Model

In this work, the authors study the existence and uniqueness of solutions to an adaptive elasticity model applied to bone remodeling. Specifically, the authors consider the model derived by Cowin and Hegedus directly from continuum mechanics theory. They use a fixed point argument to prove the existence of solutions and a straightforward adaptation of the Cowin and Nachlinger analysis to prove uniqueness.