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math.SP2004★ 2 cited
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…
math.SP2003
Extremal metric for the first eigenvalue on a Klein bottle
Dmitry Jakobson, Nikolai Nadirashvili, Iosif Polterovich
The first eigenvalue of the Laplacian on a surface can be viewed as a functional on the space of Riemannian metrics of a given area. Critical points of this functional are called e…