Inserted: 14 jan 2016
Last Updated: 14 jan 2016
Journal: DCDS-A (Discrete and Continuous Dynamical Systems - Series A)
We prove the symmetry of components and some Liouville-type theorems for, possibly sign changing, entire distributional solutions to a family of nonlinear elliptic systems encompassing models arising in Bose-Einstein condensation and in nonlinear optics. For these models we also provide precise classification results for non-negative solutions. The sharpness of our results is also discussed.