You-De Wang

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20232026

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math.AP2026

Liouville type theorems for some $(p, q)$ -Laplace equations with gradient dependent reaction on Riemannian manifolds

Youde Wang, Liqin Zhang

In this paper, we combine Bochner formula, Saloff-Coste's Sobolev inequality and the Nash-Moser iteration method to study the local and global behaviors of solutions to the nonline…

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…

Liouville type theorems for some (p,q)-Laplace equations with gradient dependent reaction on Riemannian manifolds

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

Liouville type theorems for some $(p, q)$ -Laplace equations with gradient dependent reaction on Riemannian manifolds

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