Liouville theorem for weighted p-Lichnerowicz equation on smooth metric measure space |
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Authors: | Liang Zhao |
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Affiliation: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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Abstract: | In this paper, let be n-dimensional noncompact metric measure space which satisfies Poincaré inequality with some Ricci curvature condition. We obtain a Liouville theorem for positive weak solutions to weighted p-Lichnerowicz equation where are real constants. |
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Keywords: | primary 58J05 secondary 58J35 Weighted p-Lichnerowicz equation Positive solutions Liouville theorem |
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