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 RadialSolutions to Some Chern-Simons-Schr?dinger Equations
DOI: 10.12677/PM.2014.45031,
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作者:
董奎良, 张 灿, 张志永, 谢 俊, 朱康力, 万优艳：江汉大学数学与计算机科学学院数学系，武汉
关键词:
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
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。
Abstract: 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.
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