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math.SP2022
Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains in two dimensions
Yong-Gwan Ji, Hyeonbae Kang
This paper concerns the spectral properties of the Neumann-Poincaré operator on -fold rotationally symmetric planar domains. An -fold rotationally symmetric simply connected…
math.SP2018★ 11 cited
Spectral structure of the Neumann--Poincaré operator on tori
Kazunori Ando, Yong-Gwan Ji, Hyeonbae Kang +2
We address the question whether there is a three-dimensional bounded domain such that the Neumann--Poincaré operator defined on its boundary has infinitely many negative eigenvalue…
math.SP2018★ 5 cited
A concavity condition for existence of a negative Neumann-Poincaré eigenvalue in three dimensions
Yong-Gwan Ji, Hyeonbae Kang
It is proved that if a bounded domain in three dimensions satisfies a certain concavity condition, then the Neumann-Poincaré operator on the boundary of the domain or its inversion…