# Energy variations and the non-linear elasticity

@article{Goldshtein2019EnergyVA, title={Energy variations and the non-linear elasticity}, author={Vladimir Gol'dshtein and A. Ukhlov}, journal={arXiv: Analysis of PDEs}, year={2019} }

In this paper we give a new interpretation of Ball's classes $A_{p,q}$ in terms of composition operators on Sobolev spaces. In the frameworks of the non-linear elasticity problems we propose a generalization of these classes as mappings of finite integrable inner distortion and we prove a weak regularity of inverse mappings.

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