8 papers · 1 filter
Liouville type theorems for some -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…
Liouville theorems and new gradient estimates for positive solutions to 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…
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…
Local and Global Log-Gradient estimates of solutions to 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 on complete Riemannian…
On the universal local and global properties of positive solutions to on complete Riemannian manifolds
Jie He, Youde Wang
In this paper we study the positive solutions to a nonlinear elliptic equation defined on a complete Riemannian manifold with Ricci curvature…
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…