STABILITY OF VARIATIONAL EIGENVALUES FOR THE FRACTIONAL p-LAPLACIAN

被引：98

作者：

Brasco, Lorenzo ^{[1
]}

Parini, Enea ^{[1
]}

Squassina, Marco ^{[2
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille I2M, UMR 7373, 39 Rue Frederic Joliot Curie, F-13453 Marseille, France

[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 04期

关键词：

Fractional p-Laplacian; nonlocal eigenvalue problems; critical points; Gamma-convergence; EQUATIONS; BEHAVIOR;

D O I：

10.3934/dcds.2016.36.1813

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1813 / 1845

页数：33

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