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math.DG2023
Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces
Haizhong Li, Ruixuan Li, Changwei Xiong
We derive various sharp upper bounds for the -capacity of a smooth compact set in the hyperbolic space and the Euclidean space . Firstly, using…
math.AP2023★ 1 cited
Sharp bounds for the first two eigenvalues of an exterior Steklov eigenvalue problem
Changwei Xiong
Let () be an exterior Euclidean domain with smooth boundary . We consider the Steklov eigenvalue problem on . First we derive a shar…