Stability of variational eigenvalues for the fractional p−Laplacian
By Lorenzo Brasco, Enea Parini, Marco Squassina. 2015
164 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/555e82ce2ee58e1ec96013466580750d52ec90a5
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In Applied Mathematics
- Marco Squassina
- Giampiero Palatucci
- Sunra Mosconi
- Yang Yang
- Janne Korvenpää
- Tuomo Kuusi
- Kanishka Perera
- Vicentiu D. Rădulescu
In Computational Theory and Mathematics
- Marco Squassina
- Giampiero Palatucci
- Yang Yang
- Tuomo Kuusi
- Janne Korvenpää
- Sunra Mosconi
- Kanishka Perera
- R. Vidal
In Mathematical Physics
- Marco Squassina
- Giampiero Palatucci
- Sunra Mosconi
- Tuomo Kuusi
- Kanishka Perera
- Janne Korvenpää
- Yang Yang
- Julio D. Rossi
Citations in the corpus
- A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian (2016, background): “See for instance [10, 5, 6, 12, 21, 23, 24, 31, 19] and the references therein.”
- Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations (2016, background): “Also, we would like to mention the related results involving measure data, as seen in [1, 23, 26], and the fine analysis in the papers [3, 12, 24, 25, 28] where various results for fractional p-eigenvalues have been proven.”
- The Brezis–Nirenberg problem for the fractional p-Laplacian (2015, background): “[7], Brasco and Parini [6], Franzina and Palatucci [21], Iannizzotto and Squassina [30], and Lindgren and Lindqvist [35].”
- Fractional Sobolev spaces with variable exponents and fractional p(x)-Laplacians (2017, background): “In the constant exponent case it is known as the fractional p-Laplacian, see [2, 3, 5, 7, 8, 9, 11, 12, 15, 16, 17] and references therein.”