arXiv subjects

Yilun Wei

Publications and source records attributed to Yilun Wei.

2 recordsLinked to original sources

arXiv2025

On the Bossel-Daners inequality for the p-Laplacian on complete Riemannian manifolds

In this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the p-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds. Furthermore, we demonstrate that the Bossel-Daners inequality extends to compact submanifolds within complete Riemannian manifolds characterized by positive asymptotic volume ratio and non-negative intermediate Ricci curvature.

math.DG↗

arXiv2021

Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds

In this paper, by using Schwarz rearrangement and isoperimetric inequalities, we prove comparison results for the solutions of Poisson equations on complete Riemannian manifolds with $Ric\geq (n-1)κ$, $\, κ\geq 0$, which extends the results in \cite{ANT-Talenti-a}. Furthermore, as applications of our comparison results, we obtain the Saint-Venant inequality and Bossel-Daners inequality for Robin Laplacian.

math.DG↗