标题： 高维非线性克莱因-戈登系统定态解的能量估计频率 显示英文标题

标题： Energy estimated frequencies of standing-wave solutions to non-linear Klein-Gordon systems in higher dimension

摘要： 在本工作中考虑了一个非线性椭圆方程组，其中非线性项是二次型和Sobolev次临界项的和。 对次临界项引入了一个额外的假设，这是保证通过估计能量泛函的极小序列频率而得到的驻波存在的假设中最小的一个。 显示英文摘要

摘要： 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.