We discuss the existence of solutions for a system of elliptic equations involving a coupling nonlinearity containing a critical and subcritical Sobolev exponent. We establish the existence of ground state solutions. The concentration of solutions is also established as a parameter λ becomes large.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-5,
author = {J. Chabrowski and E. Tonkes},
title = {On elliptic systems pertaining to the Schr\"odinger equation},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {273-294},
zbl = {1140.35398},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-5}
}
J. Chabrowski; E. Tonkes. On elliptic systems pertaining to the Schrödinger equation. Annales Polonici Mathematici, Tome 81 (2003) pp. 273-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-3-5/