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math.SP2020
Upper bounds for Steklov eigenvalues of submanifolds in Euclidean space via the intersection index
Bruno Colbois, Katie Gittins
We obtain upper bounds for the Steklov eigenvalues of a smooth, compact, connected, -dimensional submanifold of Euclidean space with boundary that involve the i…
math.SP2020
Courant-sharp Robin eigenvalues for the square: the case of negative Robin parameter
Katie Gittins, Bernard Helffer
We consider the cases where there is equality in Courant's nodal domain theorem for the Laplacian with a Robin boundary condition on the square. In our previous two papers, we trea…