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math.AP2020
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…
math.AP2020
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…
math.AP2020
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…