On the growth of supersolutions of nonlinear PDE's on exterior domains (Q329792)
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scientific article; zbMATH DE number 6642475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the growth of supersolutions of nonlinear PDE's on exterior domains |
scientific article; zbMATH DE number 6642475 |
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On the growth of supersolutions of nonlinear PDE's on exterior domains (English)
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21 October 2016
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nonlinear elliptic operators
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growth estimate
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exterior graphs
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mean curvature
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comparison principle
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annuli
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supersolutions
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0.91315645
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0.9123405
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0.90983725
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0.9090668
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0.90456444
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0.9023471
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0.9009658
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The authors obtain a comparison principle on annuli, with ``catenoid-like'' functions, for supersolutions of non-linear elliptic PDEs NEWLINE\[NEWLINE L_\phi(u)=\mathrm{div} (|\nabla u|^{-1}\phi(|\nabla u|)\nabla u)\leq 0\leq L_\phi(v_1) NEWLINE\]NEWLINE 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.
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