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A Liouville theorem for weighted p−Laplace operator on smooth metric measure spaces
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文摘
We prove that on a smooth metric measure space with m−Bakry–Émery curvature bounded from below by −(m − 1)K for some constant K≥0 (i.e., Ricf,m≥−(m − 1)K), the following degenerate elliptic equation

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