Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities
Abstract
In this paper, we first study a Schrödinger system with nonlocal coupling nonlinearities of Hartree type Using variational methods, we prove the existence of purely vector ground state solutions for the Schrödinger system if the parameter is small enough. Secondly, we also establish some existence results for the coupled Schrödinger system with critical exponents.
- Publication:
-
Zeitschrift Angewandte Mathematik und Physik
- Pub Date:
- February 2014
- DOI:
- 10.1007/s00033-013-0317-1
- Bibcode:
- 2014ZaMP...65...41Y