The Second Eigenvalue of the p-Laplacian as p Goes to 1

الملخص EN

The asymptotic behaviour of the second eigenvalue of the p-Laplacian operator as p goes to 1 is investigated.

The limit setting depends only on the geometry of the domain.

In the particular case of a planar disc, it is possible to show that the second eigenfunctions are nonradial if p is close enough to 1.