Ground states for the fractional Schrodinger equation
In this article, we show the existence of ground state solutions for the nonlinear Schrodinger equation with fractional Laplacian $$ (-Delta )^alpha u+ V(x)u =lambda |u|^{p}uquadhbox{in $mathbb{R}^N$ for $alpha in (0,1)$}. $$ We use the concentration compactness principle in fractional Sobole...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/127/abstr.html |