An optimal mass transport approach for limits of eigenvalue problems for the fractional p-Laplacian

Abstract

We find an interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional p-Laplacian operators as p → +∞. We deal both with Dirichlet and Neumann boundary conditions.

Keywords

• fractional p-laplacian
• eigenvalues
• mass transport
• 35j92
• 35p30
• 45c05