Localized solutions of elliptic equations: loitering at the hilltop
We find an infinite number of smooth, localized, radial solutions of $\Delta_{p} u + f(u) = 0$ in ${\Bbb R}^{N}$ - one with each prescribed number of zeros - where $\Delta_{p}u$ is the $p$-Laplacian of the function $u$.
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| Format: | Article |
| Language: | English |
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University of Szeged
2006-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=250 |