Oscillating solutions for nonlinear Helmholtz equations
Oscillating solutions for nonlinear Helmholtz equations
复制标题
非线性亥姆霍兹方程的振荡解
DOI：
10.1007/s00033-017-0859-8
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
B. Pellacci
中科院分区：
文献类型：
--
作者：
Rainer Mandel;Eugenio Montefusco;B. Pellacci
给出了一类非线性自治Helmholtz方程径向对称振动解的存在性结果，并建立了其在无穷远点的精确渐近性态。得到了非自治径向方程的一些推广和非径向解的存在性结果，证明了非线性Klein-Gordon或Schrödinger方程的大频率驻波解的存在性.
Existence results for radially symmetric oscillating solutions for a class of nonlinear autonomous Helmholtz equations are given and their exact asymptotic behaviour at infinity is established. Some generalizations to nonautonomous radial equations as well as existence results for nonradial solutions are found. Our theorems prove the existence of standing waves solutions of nonlinear Klein–Gordon or Schrödinger equations with large frequencies.
影响因子：
1.8
作者：
G. Evéquoz;T. Weth
通讯作者：
G. Evéquoz;T. Weth