You-De Wang

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20232026

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Showing 2023 · math.APShow all

4 papers · 2 filters

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…

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

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