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math.DG2025
Payne-Philippin's overdetermined problems on compact surfaces
Hang Chen, Bohan Wu
We investigate the overdetermined problem given by \begin{equation*} Δu=0 \text{ in } Ω,\quad \frac{\partial u}{\partialν} =σ_1 u \text{ on } \partial Ω, \quad |\nabla u|=\text{con…
math.DG2023
A conformal invariant and its application to the nonexistence of minimal submanifolds
Hang Chen
Let be an -dimensional closed Riemannian manifold with non-negative sectional curvatures, . We define a conformal invariant and prove that, if the conformal in…