Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
- Cozzi, Matteo
- Farina, Alberto
- Valdinoci, Enrico
2010 Mathematics Subject Classification
- 35J92 35J93 35J20
- Wulff shapes, energy monotonicity, rigidity and classification results
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.
- Adv. Math., 293 (2016) pp. 343--381.