On weak solutions of boundary values problem in the theory of Cosserat porous bodies

In our study, we adapt certain basic results from the abstract theory of differential equations of the elliptic type with the purpose to deduce some basic results in the case of a concrete type of media. Namely, after the boundary values problem is formulated in the context of elasticity of Cosserat bodies with voids, some results on existence of a generalized solution and the uniqueness of this solution are proven.

Automated summary

In this study, we utilize basic results from abstract theory of differential equations of elliptic type to obtain fundamental results for a specific type of media. Specifically, we formulate the boundary values problem in the context of elasticity of Cosserat bodies with voids and prove the existence and uniqueness of a generalized solution.