Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
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DOI：
10.1016/j.jde.2016.09.034
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发表时间：
2016-09
影响因子：
2.4
通讯作者：
G. Figueiredo;M. Pimenta
中科院分区：
文献类型：
--
作者：
G. Figueiredo;M. Pimenta
在这项工作中，我们研究了允许势在无穷远处消失的狄拉克方程基态解的存在性。该方法基于广义Nehari集上能量泛函的最小化。为了克服紧性的不足，给出了势的一些条件。
In this work we study the existence of ground-state solutions of Dirac equations with potentials which are allowed to vanish at infinity. The approach is based on minimization of the energy functional over a generalized Nehari set. Some conditions on the potentials are given in order to overcome the lack of compactness.