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Creators/Authors contains: "Li, Yimei"

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  1. ; (, International mathematics research notices)
    In this paper, we consider weak solutions of the Euler–Lagrange equation to a variational energy functional modeling the geometrically nonlinear Cosserat micropolar elasticity of continua in dimension three, which is a system coupling between the Poisson equation and the equation of $$p$$-harmonic maps (⁠#2\le p\le 3$$⁠). We show that if a weak solution is stationary, then its singular set is discrete for $2<3$ and has zero one-dimensional Hausdorff measure for $p=2$⁠. If, in addition, it is a stable-stationary weak solution, then it is regular everywhere when $$p\in [2, 32/15]$$. 
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  2. ; ; (, Journal of elliptic and parabolic equations)
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