Geodesic
Semiclassical states for weakly coupled nonlinear Schrödinger systems
Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 47-71.

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We consider systems of weakly coupled Schrödinger equations with nonconstant potentials and we 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.
DOI : 10.4171/jems/103
Classification : 34-XX, 35-XX, 00-XX
Keywords: Weakly coupled nonlinear Schrödinger systems, concentration phenomena, semiclassical limit, ground states, critical point theory, Clarke's subdifferential 
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     author = {Eugenio Montefusco and Benedetta Pellacci and Marco Squassina},
     title = {Semiclassical states for weakly coupled nonlinear {Schr\"odinger} systems},
     journal = {Journal of the European Mathematical Society},
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     publisher = {mathdoc},
     volume = {10},
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     doi = {10.4171/jems/103},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/103/}
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Eugenio Montefusco; Benedetta Pellacci; Marco Squassina. Semiclassical states for weakly coupled nonlinear Schrödinger systems. Journal of the European Mathematical Society, Tome 10 (2008) no. 1, pp. 47-71. doi : 10.4171/jems/103. http://geodesic.mathdoc.fr/articles/10.4171/jems/103/

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