On the dependence on p of the variational eigenvalues of the p-Laplace operator
arXiv:1504.07403 · doi:10.1007/s11118-015-9487-0
Abstract
We study the behavior of the variational eigenvalues of the p-Laplace operator, with homogeneous Dirichlet boundary condition, when p is varying. After introducing an auxiliary problem, we characterize the continuity answering, in particular, a question raised in [Lindqvist, 1993].