Claudio Bonanno, Pietro d'Avenia, Marco Ghimenti, Marco Squassina
Published 2013-10-11Version 1
We investigate the soliton dynamics for a class of nonlinear Schr\"odinger equations with a non-local nonlinear term. In particular, we consider what we call {\em generalized Choquard equation} where the nonlinear term is $(|x|^{\theta-N} * |u|^p)|u|^{p-2}u$. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate.
Stability and instability of standing waves for a generalized Choquard equation with potential
The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs
The ground state solutions of nonlinear Schrödinger equations with Hardy weights on lattice graphs
![QR code for arXiv:1310.3067 [math.AP]](http://oss.arxitics.com/images/favicon.svg)