# On the uniqueness of minimizers for a class of variational problems with Polyconvex integrand.

@article{Awi2017OnTU, title={On the uniqueness of minimizers for a class of variational problems with Polyconvex integrand.}, author={Rom{\'e}o Awi and M. Sedjro}, journal={arXiv: Analysis of PDEs}, year={2017} }

We prove existence and uniqueness of minimizers for a family of energy functionals that arises in Elasticity and involves polyconvex integrands over a certain subset of displacement maps. This work extends previous results by Awi and Gangbo to a larger class of integrands. First, we study these variational problems over displacements for which the determinant is positive. Second, we consider a limit case in which the functionals are degenerate. In that case, the set of admissible displacements… CONTINUE READING

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