Localized radial solutions for a nonlinear p-Laplacian equation in $R^N$
We establish the existence of radial solutions to the p-Laplacian equation $ \Delta_p u + f(u)=0 $ in $\mathbb {R^N}$, where $f$ behaves like $|u|^{q-1}u$ when $u$ is large and $f(u) < 0$ for small positive $u$. We show that for each nonnegative integer $n$, there is a localized solution $u$ whi...
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Format: | Article |
Language: | English |
Published: |
University of Szeged
2008-05-01
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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=311 |