4 citations · 5 across the 9 of their papers we have counts for
Showing 2025 · math.SPShow all
2 papers · 2 filters
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.SP2025
Second Variation Formula for Eigenvalue Functionals on Surfaces
Mikhail Karpukhin
Consider the first nontrivial eigenvalue of the Laplacian on a closed surface as a functional on the space of Riemannian metrics of unit area. N. Nadirashvili has discovered a rema…