%0 Journal Article %T Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs %A Matteo Cozzi %A Alberto Farina %A Enrico Valdinoci %J Mathematics %D 2014 %I arXiv %X We consider possibly degenerate and singular elliptic equations in a possibly anisotropic medium. We obtain monotonicity results for the energy density, rigidity results for the solutions and classification results for the singularity/degeneracy/anisotropy allowed. As far as we know, these results are new even in the case of non-singular and non-degenerate anisotropic equations. %U http://arxiv.org/abs/1412.6561v1