By virtue of Γ−convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional p−Laplacian operator, in the singular limit as the nonlocal operator converges to the p−Laplacian. We also obtain the convergence of the corresponding normalized eigenfunctions in a suitable fractional norm
Brasco, L., Parini, E., Squassina, M., Stability of variational eigenvalues for the fractional p-Laplacian, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2016; 36 (N/A): 1813-1845. [doi:10.3934/dcds.2016.36.1813] [http://hdl.handle.net/10807/87055]
Stability of variational eigenvalues for the fractional p-Laplacian
Squassina, MarcoUltimo
2016
Abstract
By virtue of Γ−convergence arguments, we investigate the stability of variational eigenvalues associated with a given topological index for the fractional p−Laplacian operator, in the singular limit as the nonlocal operator converges to the p−Laplacian. We also obtain the convergence of the corresponding normalized eigenfunctions in a suitable fractional norm
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