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

Abstract

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

20 pages

Cited by in corpus (2)

• A System of Local/Nonlocal $p$-Laplacians: The Eigenvalue Problem and Its Asymptotic Limit as $p\to \infty$
• The first nontrivial eigenvalue for a system of $p-$Laplacians with Neumann and Dirichlet boundary conditions