27 citations · 173 across the 52 of their papers we have counts for
4 papers · 1 filter
Eigenvalues for a nonlocal pseudo Laplacian
Leandro M. Del Pezzo, Julio D. Rossi
In this paper we study the eigenvalue problems for a nonlocal operator of order that is analogous to the local pseudo Laplacian. We show that there is a sequence of eigenva…
Non-Conservative Variational Approximation for Nonlinear Schroedinger Equations
J. Rossi, R. Carretero-Gonzalez, P. G. Kevrekidis
Recently, Galley [Phys. Rev. Lett. {\bf 110}, 174301 (2013)] proposed an initial value problem formulation of Hamilton's principle applied to non-conservative systems. Here, we exp…
The first nontrivial eigenvalue for a system of Laplacians with Neumann and Dirichlet boundary conditions
Leandro M. Del Pezzo, Julio D. Rossi
We deal with the first eigenvalue for a system of two Laplacians with Dirichlet and Neumann boundary conditions. If $Δ_{p}w=\mbox{div}(|\nabla w|^{p-2}w)$ stands for the La…
An optimal mass transport approach for limits of eigenvalue problems for the fractional -Laplacian
L. M. Del Pezzo, J. D. Rossi, N. Saintier +1
We find interpretation using optimal mass transport theory for eigenvalue problems obtained as limits of the eigenvalue problems for the fractional Laplacian operators as $p\to…