Existence of groundstates for Choquard type equations with Hardy–Littlewood–Sobolev critical exponent
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AbstractIn this paper, we consider a class of Choquard equations with Hardy–Littlewood–Sobolev lower or upper critical exponent in the whole space $\mathbb{R}^{N}$ R N . We combine an argument of L. Jeanjean and H. Tanaka (see (Proc. Am. Math. Soc. 131:2399–2408, 2003) with a concentration–compactness argument, and then we obtain the existence of ground state solutions, which extends and complements the earlier results.
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2018 ◽
Vol 57
(3)
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2019 ◽
Vol 39
(11)
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pp. 6523-6539
2019 ◽
Vol 21
(06)
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pp. 1850027
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2020 ◽
Vol 43
(10)
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pp. 6627-6638
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