On elliptic systems pertaining to the Schrödinger equation
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 273-294
MSC: 35J10, 35J50.
DOI: 10.4064/ap81-3-5
Abstract
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 $\lambda $ becomes large.
