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math.AP2026
Critical GJMS Equations on
Qiaoqiao Hua, Jungang Li, Chunxia Tao
Let , where , , and . Let be the order- GJMS operator, with , and assume that $Î_0=\infÏ_{L^2(M)…
math.AP2026
Existence and symmetry of extremals for the high order Hardy-Sobolev-Maz'ya inequalities
Guozhen Lu, Chunxia Tao
In this article, we establish the existence of an extremal function for the k-th order critical Hardy-Sobolev-Maz'ya (HSM) inequalities on the upper half space $\mathbb{R}^{n+1}_{+…