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Title
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Conic type Caffarelli–Kohn–Nirenberg inequality on manifold with conical singularity
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Type
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JournalPaper
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Keywords
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Caffarelli–Kohn–Nirenberg-type inequality Nonlinear elliptic equations Partial differential equations on manifolds
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Abstract
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In this paper, we consider a manifold with conical singularity and introduce weighted cone Sobolev spaces. We prove a conic type Caffarelli–Kohn–Nirenberg inequality and then apply this inequality to obtain a existence result of a nonlinear elliptic equation on weighted cone Sobolev space.
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Researchers
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Mohsen Alimohammady (Second Researcher), َAli Asghar Jafari (First Researcher)
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