8 papers
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 $$ (-Δ)^m u = u^{\frac{n+2m}{n-2m}} ~~~~~~ \textmd{in} ~ Ω\bac…
Sharp blow up estimates and precise asymptotic behavior of singular positive solutions to fractional Hardy-Hénon equations
Hui Yang, Wenming Zou
In this paper, we study the asymptotic behavior of positive solutions of the fractional Hardy-Hénon equation with an…
Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities
Hui Yang
In this paper, we consider the asymptotic behavior of positive solutions of the biharmonic equation with an isolated singularity, w…
Qualitative analysis for an elliptic system in the punctured space
Hui Yang, Wenming Zou
In this paper, we investigate the qualitative properties of positive solutions for the following two-coupled elliptic system in the punctured space: $$ \begin{cases} -Δu =μ_1 u^{2q…