Pohozaev manifold constraint for solving nonlinear Schr\"odinger equations with potentials vanishing at infinity
Analysis of PDEs
2020-06-29 v1
Abstract
Existence of a positive solution for a class of nonlinear Schr\"odinger equations with potentials which decay to zero at infinity, with an appropriate rate, approaching zero mass type limit scalar field equations, is established via a new composition of two translated and dilated solitons and its projection on the so called Pohozaev manifold.
Keywords
Cite
@article{arxiv.2006.14687,
title = {Pohozaev manifold constraint for solving nonlinear Schr\"odinger equations with potentials vanishing at infinity},
author = {Liliane A. Maia and Gilberto S. Pina and Ricardo Ruviaro},
journal= {arXiv preprint arXiv:2006.14687},
year = {2020}
}