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math.SP2018★ 2 cited
Upper bounds for Courant-sharp Neumann and Robin eigenvalues
Katie Gittins, Corentin Léna
We consider the eigenvalues of the Laplacian on an open, bounded, connected set in with boundary, with a Neumann boundary condition or a Robin boundary conditi…
math.AP2018
Eigenvalue variation under moving mixed Dirichlet-Neumann boundary conditions and applications
Laura Abatangelo, Veronica Felli, Corentin Léna
We deal with the sharp asymptotic behaviour of eigenvalues of elliptic operators with varying mixed Dirichlet-Neumann boundary conditions. In case of simple eigenvalues, we compute…