Kui Wang

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math.AP2026

To $1/2$ -logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions

Lei Qin, Jin Sun, Kui Wang

We prove that, on a bounded open convex domain $I^c ◯ \subset R^{n}$ , the first Dirichlet eigenfunction of the Laplacian or the Ornstein--Uhlenbeck operator is $I^\pm$ -logconcave fo…

math.AP2026

An isoperimetric inequality for the second Robin eigenvalue of the Weighted Laplacian

Yi Gao, Kui Wang, Anqiang Zhu

In this paper, we investigate a shape optimization problem for the second Robin eigenvalue of the weighted Laplacian on bounded Lipschitz domains symmetric about the origin. Our ma…

math.AP2025

Parabolic Frequency on Gaussian Spaces and Unique Continuation

Jin Sun, Kui Wang

We establish an almost-monotonicity formula for a parabolic frequency on Gaussian spaces for solutions of the Ornstein-Uhlenbeck heat equation with lower-order terms: $$\partial_t…

To 1/2-logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions

An isoperimetric inequality for the second Robin eigenvalue of the Weighted Laplacian

Parabolic Frequency on Gaussian Spaces and Unique Continuation

To $1/2$ -logconcavity and beyond: Geometric properties of Dirichlet eigenfunctions