You-De Wang

activity

20232026

collaborators

11 papers

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…

math.AP2025

Liouville theorems and new gradient estimates for positive solutions to $Δ_{p} v + a (v + b)^{q} = 0$ on a complete manifold

Youde Wang, Linqin Zhang

In this paper, we use the Saloff-Coste Sobolev inequality and Nash-Moser iteration method to study the local and global behaviors of positive solutions to the nonlinear elliptic eq…

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…

math.AP2024

Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds

Jie He, Linlin Sun, Youde Wang

We study degenerate quasilinear elliptic equations on Riemannian manifolds and obtain several Liouville theorems. Notably, we provide rigorous proof asserting the nonexistence of p…

math.AP2024

Local and Global Log-Gradient estimates of solutions to $Δ_{p} v + b v^{q} + c v^{r} = 0$ on manifolds and applications

Jie He, Yuanqing Ma, Youde Wang

In this paper, we employ the Nash-Moser iteration technique to study local and global properties of positive solutions to the equation $Δ_{p} v + b v^{q} + c v^{r} = 0$ on complete Riemannian…

math.AP2023

On the universal local and global properties of positive solutions to $Δ_{p} v + b ∣\nabla v ∣^{q} + c v^{r} = 0$ on complete Riemannian manifolds

Jie He, Youde Wang

In this paper we study the positive solutions to a nonlinear elliptic equation $Δ_{p} v + b ∣\nabla v ∣^{q} + c v^{r} = 0$ defined on a complete Riemannian manifold $(M, g)$ with Ricci curvature…

math.AP2023

Nash-Moser iteration approach to the logarithmic gradient estimates and Liouville Properties of quasilinear elliptic equations on manifolds

Jie He, Jingchen Hu, Youde Wang

In this paper, we provide a new routine to employ the Nash-Moser iteration technique to analyze the local and global properties of positive solutions to the equation $$Δ_pv + a|\na…

math.AP2023

Boundedness and gradient estimates for solutions to $Δ u + a (x) u lo g u + b (x) u = 0$ on Riemannian manifolds

Jie Wang, Youde Wang

In this paper, combining Nash-Moser iteration and Sallof-Coste type Sobolev ineualities, we establish fundamental and concise $C^{0}$ and $C^{1}$ estimates for solutions to a class of…

math.AP2023

Gradient estimates for $Δ_{p} u - ∣\nabla u ∣^{q} + b (x) ∣ u ∣^{r - 1} u = 0$ on a complete Riemannian manifold and Liouville type theorems

Dong Han, Jie He, Youde Wang

In this paper the Nash-Moser iteration method is used to study the gradient estimates of solutions to the quasilinear elliptic equation $Δ_{p} u - ∣\nabla u ∣^{q} + b (x) ∣ u ∣^{r - 1} u = 0$ define…

math.DG2023

Gradient Estimate for Solutions of $Δ v + v^{r} - v^{s} = 0$ on A Complete Riemannian Manifold

Youde Wang, Aiqi Zhang

In this paper we consider the gradient estimates on positive solutions to the following elliptic equation defined on a complete Riemannian manifold $(M, g)$ : $Δ v + v^{r} - v^{s} = 0,$ wh…

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 theorems and new gradient estimates for positive solutions to Δp​v+a(v+b)q=0 on a complete manifold

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

Optimal Liouville theorems for the Lane-Emden equation on Riemannian manifolds

Local and Global Log-Gradient estimates of solutions to Δp​v+bvq+cvr=0 on manifolds and applications

On the universal local and global properties of positive solutions to Δp​v+b∣∇v∣q+cvr=0 on complete Riemannian manifolds

Nash-Moser iteration approach to the logarithmic gradient estimates and Liouville Properties of quasilinear elliptic equations on manifolds

Boundedness and gradient estimates for solutions to Δu+a(x)ulogu+b(x)u=0 on Riemannian manifolds

Gradient estimates for Δp​u−∣∇u∣q+b(x)∣u∣r−1u=0 on a complete Riemannian manifold and Liouville type theorems

Gradient Estimate for Solutions of Δv+vr−vs=0 on A Complete Riemannian Manifold

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

Liouville theorems and new gradient estimates for positive solutions to $Δ_{p} v + a (v + b)^{q} = 0$ on a complete manifold

Local and Global Log-Gradient estimates of solutions to $Δ_{p} v + b v^{q} + c v^{r} = 0$ on manifolds and applications

On the universal local and global properties of positive solutions to $Δ_{p} v + b ∣\nabla v ∣^{q} + c v^{r} = 0$ on complete Riemannian manifolds

Boundedness and gradient estimates for solutions to $Δ u + a (x) u lo g u + b (x) u = 0$ on Riemannian manifolds

Gradient estimates for $Δ_{p} u - ∣\nabla u ∣^{q} + b (x) ∣ u ∣^{r - 1} u = 0$ on a complete Riemannian manifold and Liouville type theorems

Gradient Estimate for Solutions of $Δ v + v^{r} - v^{s} = 0$ on A Complete Riemannian Manifold