Corpus ID: 203610354

Geometric measure theory and differential inclusions

@article{Lellis2019GeometricMT,
  title={Geometric measure theory and differential inclusions},
  author={Camillo De Lellis and Guido De Philippis and Bernd Kirchheim and Riccardo Tione},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
In this paper we consider Lipschitz graphs of functions which are stationary points of strictly polyconvex energies. Such graphs can be thought as integral currents, resp. varifolds, which are stationary for some elliptic integrands. The regularity theory for the latter is a widely open problem, in particular no counterpart of the classical Allard's theorem is known. We address the issue from the point of view of differential inclusions and we show that the relevant ones do not contain the… Expand

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