Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
Articolo
Data di Pubblicazione:
2016
Citazione:
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs / M. Cozzi, A. Farina, E. Valdinoci. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 293:(2016), pp. 343-381. [10.1016/j.aim.2016.02.014]
Abstract:
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Wulff shapes; Energy monotonicity; Rigidity and classification results
Elenco autori:
M. Cozzi, A. Farina, E. Valdinoci
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