Singular p-harmonic functions and related quasilinear equations on manifolds
We give here an overview of some recent developments in the study of the description of singular solutions of $$ -abla.(|abla u|^{p-2}abla u) +varepsilon |u|^{q-1}u=0 %label{NLE} $$ in $mathbb{R}^Nsetminus {0}$, where $p>1$, $varepsilon in {0,1,-1}$ and $qgeq p-1$.
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| Format: | Article |
| Language: | English |
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Texas State University
2002-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/conf-proc/08/v1/abstr.html |
| Summary: | We give here an overview of some recent developments in the study of the description of singular solutions of $$ -abla.(|abla u|^{p-2}abla u) +varepsilon |u|^{q-1}u=0 %label{NLE} $$ in $mathbb{R}^Nsetminus {0}$, where $p>1$, $varepsilon in {0,1,-1}$ and $qgeq p-1$. |
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| ISSN: | 1072-6691 |