Energy estimated frequencies of standing-wave solutions to nonlinear Klein-Gordon systems in higher dimensions

Abstract

A system of nonlinear elliptic equations is considered, where the nonlinear term is the sum of a quadratic form and a Sobolev sub-critical term. An extra assumption is introduced on the nonlinear 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.