Existence and concentration of semiclassical states for nonlinear Schrodinger equations
In this article, we study the semilinear Schrodinger equation $$ -epsilon^2Delta u+ u+ V(x)u=f(u),quad uin H^1(mathbb{R}^N), $$ where $Ngeq 2$ and $epsilon>0$ is a small parameter. The function $V$ is bounded in $mathbb{R}^N$, $inf_{mathbb{R}^N}(1+V(x))>0$ and it has a possibly degenerat...
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| Format: | Article |
| Language: | English |
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Texas State University
2012-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/85/abstr.html |