3 papers
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…
math.DG2024
Li-Yau Estimates for a Nonlinear Parabolic Equation on Finsler Manifolds
Bin Shen, Yuhan Zhu
In this paper, we explore the positive solutions to the Finslerian nonlinear equation which is related to Ricci…