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 (Potential Anal. 2(3), 199–218 1993)
Degiovanni, M., Marzocchi, M., On the dependence on p of the variational eigenvalues of the p-Laplace operator, <<POTENTIAL ANALYSIS>>, N/A; 43 (4): 593-609. [doi:10.1007/s11118-015-9487-0] [http://hdl.handle.net/10807/69589]
On the dependence on p of the variational eigenvalues of the p-Laplace operator
Degiovanni, Marco;Marzocchi, Marco
2015
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 (Potential Anal. 2(3), 199–218 1993)
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