Xiaoshang Jin

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math.DG2026

Estimates of $p$ -capacity for manifolds with Ricci curvature bounded from below

Xiaoshang Jin, Zhiwei LÃ¼, Jiabin Yin

We study sharp estimates for the $p$ -capacity on complete non-compact Riemannian manifolds under lower Ricci curvature bounds. First, we establish sharp comparison inequalities for…

math.DG2026

Principal $p -$ frequency estimates on non-compact manifolds with negative Ricci curvature

Xiaoshang Jin, Zhiwei LÃ¼

We establish a lower bound for the principal $p -$ frequency $I^»_{1, p} (I^c ◯)$ on a bounded domain $I^c ◯$ in a non-compact Riemannian manifold of dimension $n .$ Under the assumption that…

math.DG2026

Estimate for the first Dirichlet eigenvalue of $p -$ Laplacian on non-compact manifolds

Xiaoshang Jin, Zhiwei LÃ¼

In this paper, we establish a sharp lower bound for the first Dirichlet eigenvalue of the $p$ -Laplacian on bounded domains of a complete, non-compact Riemannian manifold with non-n…

math.DG2026

Lower bound for the first eigenvalue of $p -$ Laplacian and applications in asymptotically hyperbolic Einstein manifolds

Xiaoshang Jin

This paper investigates the first Dirichlet eigenvalue for the $p$ -Laplacian in Riemannian manifolds. Firstly, we establish a lower bound for this eigenvalue under the condition th…

math.DG2024

Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

Xiaoshang Jin, Jiabin Yin

In this paper, we establish a Willmore-type inequality for closed hypersurfaces in a complete Riemannian manifold of dimension $n + 1$ with $Ric \geq - n g$ . It extends the classic…

Estimates of p-capacity for manifolds with Ricci curvature bounded from below

Principal p−frequency estimates on non-compact manifolds with negative Ricci curvature

Estimate for the first Dirichlet eigenvalue of p−Laplacian on non-compact manifolds

Lower bound for the first eigenvalue of p−Laplacian and applications in asymptotically hyperbolic Einstein manifolds

Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below

Estimates of $p$ -capacity for manifolds with Ricci curvature bounded from below

Principal $p -$ frequency estimates on non-compact manifolds with negative Ricci curvature

Estimate for the first Dirichlet eigenvalue of $p -$ Laplacian on non-compact manifolds

Lower bound for the first eigenvalue of $p -$ Laplacian and applications in asymptotically hyperbolic Einstein manifolds