Bobo Hua

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20232025

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math.SP2025

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

Bobo Hua, Yang Shen

In this paper, we study the Steklov eigenvalue of a Riemannian manifold (M, g) with smooth boundary. For compact M , we establish a Cheeger-type inequality for the first Steklov ei…

math.SP2024

The hot spots conjecture on Gaussian spaces

Bobo Hua, Jin Sun

We study the hot spots conjecture for domains in the Gaussian space $(R^{n}, (2 π)^{- n /2} e^{- ∣ x ∣^{2} /2} d x)$ for $n \geq 2$ . Given a bounded domain $Ω$ with a piecewise smooth…