For a class of asymptotically periodic Schrödinger-Poisson systems with critical growth, the existence of ground states is established. The proof is based on the method of Nehari manifold and concentration compactness principle.
@article{bwmeta1.element.doi-10_2478_s11533-014-0426-x,
author = {Hui Zhang and Junxiang Xu and Fubao Zhang and Miao Du},
title = {Ground states for asymptotically periodic Schr\"odinger-Poisson systems with critical growth},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1484-1499},
zbl = {1300.35033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0426-x}
}
Hui Zhang; Junxiang Xu; Fubao Zhang; Miao Du. Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth. Open Mathematics, Tome 12 (2014) pp. 1484-1499. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0426-x/
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