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On Stability of Critical Points for the High Dimensional Onsager Functional with Maier-Saupe Potential

Guan, Sisi et al.
arXiv (All) · Papers
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analysis-of-pdes
We study the stability of the critical points of the Onsager energy functional with Maier-Saupe interaction potential in general dimensions. We show that the stable critical points must be axisymmetric, which solves a problem proposed by [H. Wang, P. Hoffman, Commun. Math. Sci. 6 (2008), 949--974] a
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