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arXiv · 1307.6949

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

Alberto Farina
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Abstract

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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Alberto Farina. 2013-07-26. Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems. https://arxiv.org/abs/1307.6949

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