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math.AP2022★ 6 cited
One dimensional sharp discrete Hardy-Rellich inequalities
Xia Huang, Dong Ye
In this paper, we establish discrete Hardy-Rellich inequalities on with and optimal constants, for any . As far as we are aware, these…
math.AP2022
Super polyharmonic property and asymptotic behavior of solutions to the higher order Hardy-Hénon equation near isolated singularities
Xia Huang, Yuan Li, Hui Yang
In this paper, we are devoted to studying the positive solutions of the following higher order Hardy-Hénon equation $$ (-Δ)^{m}u=|x|^αu^{p} \quad\mbox{in}~ B_{1}\setminus\{0\}\subs…