Meng Ji

collaborators

3 papers

math.DG2025

Fenchel-Willmore and Sobolev-type inequalities for submanifolds in non-negatively curved manifolds

Meng Ji, Kwok-Kun Kwong

In this paper, we uncover a novel connection between the Fenchel-Willmore inequality and a new logarithmic Sobolev inequality for mean-convex submanifolds immersed in non-negativel…

math.AP2025

$C^{1, I^\pm}$ regularity of the solution for the obstacle problem for the linearized Monge-AmpÃ¨re operator

Meng Ji

In this paper, we study the regularity of the solution for the obstacle problem associated with the linearized Monge-AmpÃ¨re operator: \begin{align*} \begin{cases} &u\geqÏ\text{\q…

math.DG2025

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$ -Ricci curvature

Meng Ji, Kwok-Kun Kwong

We establish a sharp Fenchel-Willmore inequality for closed submanifolds of arbitrary dimension and codimension immersed in a complete Riemannian manifold with non-negative interme…

Fenchel-Willmore and Sobolev-type inequalities for submanifolds in non-negatively curved manifolds

C1,I^± regularity of the solution for the obstacle problem for the linearized Monge-AmpÃ¨re operator

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative k-Ricci curvature

$C^{1, I^\pm}$ regularity of the solution for the obstacle problem for the linearized Monge-AmpÃ¨re operator

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$ -Ricci curvature