Existence and concentration of positive solutions for a quasilinear elliptic equation in R
We study the existence and concentration of positive solutions for the quasilinear elliptic equation $$ -varepsilon^2u'' -varepsilon^2(u^2)''u+V(x) u = h(u) $$ in $mathbb{R}$ as $varepsilono 0$, where the potential $V:mathbb{R}o mathbb{R}$ has a positive infimum and $inf_{...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/61/abstr.html |