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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 $$ (-Δ)^{m}u=|x|^αu^{p} \quad\mbox{in}~ B_{1}\setminus\{0\}\subs…
Local estimates for conformal -curvature equations
Tianling Jin, Hui Yang
We derive local estimates of positive solutions to the conformal -curvature equation near their singular set…
Initial boundary value problem for a strongly damped wave equation with a general nonlinearity
Hui Yang, Yuzhu Han
In this paper, a strongly damped semilinear wave equation with a general nonlinearity is considered. With the help of a newly constructed auxiliary functional and the concavity arg…
Large singular solutions for conformal -curvature equations on
Xusheng Du, Hui Yang
In this paper, we study the existence of positive functions such that the conformal -curvature equation \begin{equation}\label{001} P_m (v) =K v^{\frac…
Local behavior of positive solutions of higher order conformally invariant equations with a singular set
Xusheng Du, Hui Yang
We study some properties of positive solutions to the higher order conformally invariant equation with a singular set $$ (-Δ)^m u = u^{\frac{n+2m}{n-2m}} ~~~~~~ \textmd{in} ~ Ω\bac…
Sharp blow up estimates and precise asymptotic behavior of singular positive solutions to fractional Hardy-Hénon equations
Hui Yang, Wenming Zou
In this paper, we study the asymptotic behavior of positive solutions of the fractional Hardy-Hénon equation with an…