Calculus of Variations and Geometric Measure Theory
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A. Farina

Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems

created by farina on 14 Jan 2016



Inserted: 14 jan 2016
Last Updated: 14 jan 2016

Journal: DCDS-A (Discrete and Continuous Dynamical Systems - Series A)
Year: 2015


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.


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