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arXiv · 1503.04182

Stability of variational eigenvalues for the fractional p-Laplacian

Lorenzo Brasco·Enea Parini·Marco Squassina
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Abstract

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.

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Lorenzo Brasco, Enea Parini, Marco Squassina. 2015-03-13. Stability of variational eigenvalues for the fractional p-Laplacian. https://arxiv.org/abs/1503.04182

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