2 papers
math.DG2026
Quasi-linear equation 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 \[ Î_p v + a v^{q}=0 \] defined on complete Riemannian manifolds satisfying a \emph{-type Sobolev inequal…
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…