Semiclassical states for weakly coupled nonlinear Schrödinger systems

Montefusco, Eugenio, Pellacci, Benedetta, and Squassina, Marco. "Semiclassical states for weakly coupled nonlinear Schrödinger systems." Journal of the European Mathematical Society 010.1 (2008): 47-71. <http://eudml.org/doc/277331>.

@article{Montefusco2008,
abstract = {We consider systems of weakly coupled Schrödinger equations with nonconstant potentials 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.},
author = {Montefusco, Eugenio, Pellacci, Benedetta, Squassina, Marco},
journal = {Journal of the European Mathematical Society},
keywords = {weakly coupled nonlinear Schrödinger systems; concentration phenomena; semiclassical limit; ground states; critical point theory; Clarke's subdifferential; nonlinear Schrödinger equations; semiclassical states; critical point},
language = {eng},
number = {1},
pages = {47-71},
publisher = {European Mathematical Society Publishing House},
title = {Semiclassical states for weakly coupled nonlinear Schrödinger systems},
url = {http://eudml.org/doc/277331},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Montefusco, Eugenio
AU - Pellacci, Benedetta
AU - Squassina, Marco
TI - Semiclassical states for weakly coupled nonlinear Schrödinger systems
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 1
SP - 47
EP - 71
AB - We consider systems of weakly coupled Schrödinger equations with nonconstant potentials 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.
LA - eng
KW - weakly coupled nonlinear Schrödinger systems; concentration phenomena; semiclassical limit; ground states; critical point theory; Clarke's subdifferential; nonlinear Schrödinger equations; semiclassical states; critical point
UR - http://eudml.org/doc/277331
ER -