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math.SP2025
Optimisation of Steklov transmission eigenvalues and minimal surfaces
Mikhail Karpukhin, Alain Didier Noutchegueme
In the present paper, we study the variational properties of Steklov transmission eigenvalues, which can be seen as eigenvalues of the sum of two Dirichlet-to-Neumann operators on…
math.SP2022★ 1 cited
Flexibility of Steklov eigenvalues via boundary homogenisation
Mikhail Karpukhin, Jean Lagacé
Recently, D. Bucur and M. Nahon used boundary homogenisation to show the remarkable flexibility of Steklov eigenvalues of planar domains. In the present paper we extend their resul…