The Second Eigenvalue of the p‐Laplacian as p Goes to 1
Enea Parini · International Journal of Differential Equations · 2009
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.