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Liouville theorems for nonlinear elliptic equations with gradient dependence in half-spaces Sirakov, Boyan
Description
We study the existence of nonnegative supersolutions of the nonlinear elliptic problem $-\Delta u + |\nabla u|^q = \lambda u^p$ in the half-space $\R^N_+$, where $N\ge 2$, $q>1$, $p>0$ and $\la>0$. We obtain Liouville theorems for positive, bounded supersolutions, depending on the exponents $q$ and $p$, the dimension $N$, and, in some critical cases, also on the parameter $\la>0$.
Item Metadata
| Title |
Liouville theorems for nonlinear elliptic equations with gradient dependence in half-spaces
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-04-06T16:12
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| Description |
We study the existence of nonnegative supersolutions of the nonlinear elliptic problem $-\Delta u + |\nabla u|^q = \lambda u^p$ in the half-space $\R^N_+$, where $N\ge 2$, $q>1$, $p>0$ and $\la>0$. We obtain Liouville theorems for positive, bounded supersolutions, depending on the exponents $q$ and $p$, the dimension $N$, and, in some critical cases, also on the parameter $\la>0$.
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| Extent |
46 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: PUC-Rio de Janeiro
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| Series | |
| Date Available |
2017-10-04
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0356064
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International