On the dependence on p of the variational eigenvalues of the p-Laplace operator
Analysis of PDEs
2017-08-25 v1
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].
Keywords
Cite
@article{arxiv.1504.07403,
title = {On the dependence on p of the variational eigenvalues of the p-Laplace operator},
author = {Marco Degiovanni and Marco Marzocchi},
journal= {arXiv preprint arXiv:1504.07403},
year = {2017}
}