Adams inequality with exact growth in the hyperbolic space ℍ4 and Lions lemma
2018 ◽
Vol 20
(05)
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pp. 1750066
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In this paper, we prove Adams inequality with exact growth condition in the four-dimensional hyperbolic space [Formula: see text] [Formula: see text] [Formula: see text]. We will also establish an Adachi–Tanaka-type inequality in this setting. Another aspect of this paper is the Lions lemma in the hyperbolic space. We prove Lions lemma for the Moser functional and for a few cases of the Adams functional on the whole hyperbolic space.
2020 ◽
2015 ◽
Vol 17
(4)
◽
pp. 979-1002
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2015 ◽
Vol 26
(2)
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pp. 837-857
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2018 ◽
Vol 20
(06)
◽
pp. 1750072
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Keyword(s):
2015 ◽
Vol 17
(4)
◽
pp. 819-835
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