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

On the growth of supersolutions of nonlinear PDE's on exterior domains

IMPERA, DEBORA;PIGOLA, STEFANO
2016-01-01

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
2016
http://www.sciencedirect.com/science/article/pii/S0362546X16301821
Exterior graphs; Growth estimate; Mean curvature; Nonlinear elliptic operators
Impera, Debora; Pigola, Stefano
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/2056569
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