We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
Montefusco, E., Pellacci, B., Squassina, M., Semiclassical states for weakly coupled nonlinear Schrodinger systems, <<JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY>>, 2008; 10 (N/A): 47-71. [doi:10.4171/JEMS/103] [http://hdl.handle.net/10807/90747]
Semiclassical states for weakly coupled nonlinear Schrodinger systems
Squassina, MarcoUltimo
2008
Abstract
We consider systems of weakly coupled Schrodinger equations with nonconstant po- ¨ tentials and investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
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