Weighted Hardy inequality on Riemannian manifolds
2016 ◽
Vol 18
(06)
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pp. 1550072
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Keyword(s):
Let [Formula: see text] be a smooth compact Riemannian manifold of dimension [Formula: see text] and let [Formula: see text] to be a closed submanifold of dimension [Formula: see text]. In this paper, we study existence and non-existence of minimizers of Hardy inequality with weight function singular on [Formula: see text] within the framework of Brezis–Marcus–Shafrir [Extremal functions for Hardy’s inequality with weight, J. Funct. Anal. 171 (2000) 177–191]. In particular, we provide necessary and sufficient conditions for existence of minimizers.
2013 ◽
Vol 56
(1)
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pp. 173-183
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2006 ◽
Vol 17
(03)
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pp. 313-330
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2021 ◽
Vol 62
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pp. 53-66
2011 ◽
Vol 08
(07)
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pp. 1439-1454
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1999 ◽
Vol 01
(01)
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pp. 1-50
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2003 ◽
Vol 46
(1)
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pp. 117-146
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