On a semilinear elliptic equation in Hn

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Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces (2019, unknown): “When k = 1, the above equation reduces to the one considered in [48]: −ΔHu− ( n(n−2) 4 +λ ) u= up−1, λ≤ 1 4 , 2 < p≤ 2n n−2 .”
Trudinger-Moser inequality with remainder terms (2012, background): “ty (1.2) is also false if the nonlinearity |u|2∗ is multiplied by an unbounded radial monotone function, although (1.1) on the unit disk holds also when the integrand is replaced by e4πu 2 −1 (1−r)2 ([4, 12]). This paper studies another reﬁnement of (1.1), whose analogy in the case N ≥ 3 is the Mazy”