Add to ORKGInternational audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the equality in the Courant nodal theorem (Courant sharp situation) can only be true for a finite number of eigenvalues. We identify five Courant sharp eigenvalues for the Neumann Laplacian in the square, and prove that there are no other cases
We consider the eigenvalues of the Laplacian, with a Neumann or Robin boundary condition, on an open...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
International audienceA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet ...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
A. Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the eq...
Å. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the equalit...
We show that equality in Courant's nodal domain theorem can only be reached for a finite number of e...
We show that equality in Courant's nodal domain theorem can only be reached for a finite number of e...
International audienceA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet ...
International audienceAccording to Courant's theorem, an eigenfunction as\-sociated with the $n$-th ...
International audienceAccording to Courant's theorem, an eigenfunction as\-sociated with the $n$-th ...
International audienceThis paper is devoted to the determination of the cases where there is equalit...
International audienceThe question of determining for which eigenvalues there exists an eigenfunctio...
International audienceThe question of determining for which eigenvalues there exists an eigenfunctio...
In this paper, we determine, in the case of the Laplacian on the flat three-dimensional torus (R/Z)(...
We consider the eigenvalues of the Laplacian, with a Neumann or Robin boundary condition, on an open...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
International audienceA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet ...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
A. Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the eq...
Å. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the equalit...
We show that equality in Courant's nodal domain theorem can only be reached for a finite number of e...
We show that equality in Courant's nodal domain theorem can only be reached for a finite number of e...
International audienceA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet ...
International audienceAccording to Courant's theorem, an eigenfunction as\-sociated with the $n$-th ...
International audienceAccording to Courant's theorem, an eigenfunction as\-sociated with the $n$-th ...
International audienceThis paper is devoted to the determination of the cases where there is equalit...
International audienceThe question of determining for which eigenvalues there exists an eigenfunctio...
International audienceThe question of determining for which eigenvalues there exists an eigenfunctio...
In this paper, we determine, in the case of the Laplacian on the flat three-dimensional torus (R/Z)(...
We consider the eigenvalues of the Laplacian, with a Neumann or Robin boundary condition, on an open...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
International audienceA. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet ...