We obtain a comparison principle on annuli, with “catenoid-like” functions, for supersolutions of non-linear elliptic PDEs over exterior domains in a non-positively curved manifold with a pole. This result is applied to get an upper estimate on the growth of such supersolutions and, in particular, of exterior graphs of non-negative mean curvature.
Impera, D., Pigola, S. (2016). On the growth of supersolutions of nonlinear PDE's on exterior domains. NONLINEAR ANALYSIS, 146, 20-31 [10.1016/j.na.2016.08.010].
On the growth of supersolutions of nonlinear PDE's on exterior domains
Pigola Stefano
2016
Abstract
We obtain a comparison principle on annuli, with “catenoid-like” functions, for supersolutions of non-linear elliptic PDEs over exterior domains in a non-positively curved manifold with a pole. This result is applied to get an upper estimate on the growth of such supersolutions and, in particular, of exterior graphs of non-negative mean curvature.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
IP_GrowthOfMinGraphs_submission_NonlinearAnalysis_PostPrint.pdf
Solo gestori archivio
Dimensione
305.82 kB
Formato
Adobe PDF
|
305.82 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
