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Monotonicity formulae and classifcation results for singular, degenerate, anisotropic PDEs
2014, Cozzi, Matteo, Farina, Alberto, Valdinoci, Enrico
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 classi?cation 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.