Add to ORKGWe show a partial version of the Courant nodal domain theorem for the p-Laplacian: any eigenfunction associated to the second eigenvalue has exactly two nodal domains. A similar result is also proved for the Fučik spectrum. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Å. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the 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...
We show a partial version of the Courant nodal domain theorem for the p-Laplacian: any eigenfunction...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
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 ...
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...
This version differs notably from arXiv 1803.00449v2 (15 Jun 2018). The part concerning Gelfand's ap...
This version differs notably from arXiv 1803.00449v2 (15 Jun 2018). The part concerning Gelfand's ap...
A. Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the eq...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
Å. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the 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...
We show a partial version of the Courant nodal domain theorem for the p-Laplacian: any eigenfunction...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
AbstractIn this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear...
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 ...
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...
This version differs notably from arXiv 1803.00449v2 (15 Jun 2018). The part concerning Gelfand's ap...
This version differs notably from arXiv 1803.00449v2 (15 Jun 2018). The part concerning Gelfand's ap...
A. Pleijel has proved that in the case of the Laplacian on the square with Neumann condition, the eq...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
International audience˚ A. Pleijel has proved that in the case of the Laplacian on the square with N...
Å. Pleijel (1956) has proved that in the case of the Laplacian with Dirichlet condition, the 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...