Youde Wang

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20242026

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math.DG2026

Quasi-linear equation $Δ_{p} v + a v^{q} = 0$ on manifolds with integral bounded Ricci curvature and geometric applications

Youde Wang, Guodong Wei, Liqin Zhang

We study nonexistence results and gradient estimates for solutions of \[ Δ_p v + a v^{q}=0 \] defined on complete Riemannian manifolds satisfying a \emph{ $χ$ -type Sobolev inequalit…

math.DG2024

Cheng-Yau logarithmic gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces

Cheng Jin, Youde Wang, Fanqi Zeng

In this paper, we consider the nonlinear elliptic equation $Δ_{f} v^{τ} + λ v = 0$ on a complete smooth metric measure space with $m$ -Bakry-Émery Ricci curvature bounded from below, where…

Quasi-linear equation Δp​v+avq=0 on manifolds with integral bounded Ricci curvature and geometric applications

Cheng-Yau logarithmic gradient estimates for a nonlinear elliptic equation on smooth metric measure spaces

Quasi-linear equation $Δ_{p} v + a v^{q} = 0$ on manifolds with integral bounded Ricci curvature and geometric applications