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.
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]
Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs
M. Cozzi
;E. ValdinociUltimo
2016
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0001870816000670-main.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
570.81 kB
Formato
Adobe PDF
|
570.81 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.