Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds |
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| Authors: | Yuhua Sun |
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| Affiliation: | Department of Mathematics, University Bielefeld, 33501 Bielefeld, Germany |
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| Abstract: | We consider certain semi-linear partial differential inequalities on complete connected Riemannian manifolds and provide a simple condition in terms of volume growth for the uniqueness of a non-negative solution. We also show the sharpness of this condition. |
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| Keywords: | Semilinear inequalities Critical exponents Riemannian manifolds Volume growth |
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