J. Monnier et L. Trabucho, EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN ADAPTIVE ELASTICITY MODEL, Mathematics and mechanics of solids, 3(2), 1998, pp. 217-228
In this work, the authors study the existence and uniqueness of soluti
ons to an adaptive elasticity model applied to bone romodeling. Specif
ically, the authors consider the model derived by Cowin and Hegedus di
rectly from continuum mechanics theory. They use a fixed point argumen
t to prove the existence of solutions and a straightforward adaptation
of the Cowin and Nachlinger analysis to prove uniqueness.