The second eigenvalue of the p-Laplacian as p goes to 1
Parini, Enea (2010), The second eigenvalue of the p-Laplacian as p goes to 1, International Journal of Differential Equations, 2010. http://dx.doi.org/10.1155/2010/984671
TypeArticle accepté pour publication ou publié
Journal nameInternational Journal of Differential Equations
MetadataShow full item record
Abstract (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.
Subjects / Keywordsplanar disc; p-Laplacian; eigenvalue
Showing items related by title and author.
Limits as p→∞ of p-Laplacian problems with a superdiffusive power-type nonlinearity: Positive and sign-changing solutions Parini, Enea; Charro, Fernando (2010) Article accepté pour publication ou publié