3 papers
math.DG2025
Shi-type and Hamilton-type gradient estimates for a general parabolic equation under compact Finsler geometric flows
Yijie Miao, Bin Shen
Recently, the Li-Yau-type gradient estimates for positive solutions to parabolic equations \begin{equation} \partial_t u=Îu+\mathcal{R}_1u+\mathcal{R}_2u^α+\mathcal{R}_3u(\log u)…
math.AP2025
Nonlinear eigenvalue problems for a class of quasilinear operator on complete Riemannian manifolds
Bin Shen, Yuhan Zhu
In this manuscript, we study the nonlinear eigenvalue problem on complete Riemannian manifolds with Ricci curvature bounded from below, to find the unknowns and , such that…
math.DG2025
Feasibility of Nash-Moser iteration for Cheng-Yau-type gradient estimates of nonlinear equations on complete Riemannian manifolds
Bin Shen, Yuhan Zhu
In this manuscript, we employ the Nash-Moser iteration technique to determine a condition under which the positive solution of the generalized nonlinear Poisson equation $$\ope…