Energy estimated frequencies of standing-wave solutions to non-linear Klein-Gordon systems in higher dimension
Analysis of PDEs
2023-01-02 v2
Abstract
In this work a system of non-linear elliptic equations is considered, where the non-linear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the sub-critical term, which is minimal among the ones which guarantee the existence of standing-waves obtained by estimating frequencies of minimizing sequences with the energy functional.
Keywords
Cite
@article{arxiv.1005.0134,
title = {Energy estimated frequencies of standing-wave solutions to non-linear Klein-Gordon systems in higher dimension},
author = {Daniele Garrisi},
journal= {arXiv preprint arXiv:1005.0134},
year = {2023}
}