On elliptic systems pertaining to the Schrödinger equation
J. Chabrowski, E. Tonkes (2003)
Annales Polonici Mathematici
Similarity:
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.