标题:
一类陈–西蒙斯–薛定谔方程径向对称解的非存在性结论The Nonexistence Results of Radial
Solutions to Some Chern-Simons-Schr?dinger Equations
作者:
董奎良, 张灿, 张志永, 谢俊, 朱康力, 万优艳
关键字:
陈–西蒙斯–薛定谔方程, 径向对称解, 非存在性Chern-Simons-Schr?dinger Equations, Radial Solutions, The Nonexistence
期刊名称:
《Pure Mathematics》, Vol.4 No.5, 2014-09-23
摘要:
通过变分法研究得到：当参数λ大于零时，一类带正的径向对称的位势和特殊非线性项的陈–西蒙斯–薛定谔方程不存在非平凡的径向对称解。Using variational methods, we obtain that the nonexistence of radial solutions to some Chern-Si- mons-Schrödinger equations with radial symmetric potentials and special nonlinearities when the parameter λ is positive.