Gradient bounds for anisotropic partial differential equations

@article{Farina2014GradientBF,
  title={Gradient bounds for anisotropic partial differential equations},
  author={Alberto Farina and Enrico Valdinoci},
  journal={Calculus of Variations and Partial Differential Equations},
  year={2014},
  volume={49},
  pages={923-936}
}
We consider solutions in the whole of the space of a partial differential equation driven by the anisotropic Laplacian. We prove a pointwise energy bound and we derive from that some rigidity results.