Estimates and uniqueness for boundary blow-up solutions of p-Laplace equations
We investigate boundary blow-up solutions of the p-Laplace equation $Delta_p u=f(u)$, $p>1$, in a bounded smooth domain $Omegasubset R^N$. Under appropriate conditions on the growth of $f(t)$ as $t$ approaches infinity, we find an estimate of the solution $u(x)$ as $x$ approaches $partialOmeg...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2011-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/119/abstr.html |
| Summary: | We investigate boundary blow-up solutions of the p-Laplace equation $Delta_p u=f(u)$, $p>1$, in a bounded smooth domain $Omegasubset R^N$. Under appropriate conditions on the growth of $f(t)$ as $t$ approaches infinity, we find an estimate of the solution $u(x)$ as $x$ approaches $partialOmega$, and a uniqueness result. |
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| ISSN: | 1072-6691 |