DCDS
Stability of variational eigenvalues for the fractional $p-$Laplacian
Lorenzo Brasco Enea Parini Marco Squassina
By virtue of $\Gamma-$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.
keywords: $\Gamma-$convergence. nonlocal eigenvalue problems Fractional $p-$Laplacian critical points

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