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math.AP2026
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…
math.AP2025
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.AP2025
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…