In this paper we study a class of Dirac–Poisson system with non-periodic potential. The Dirac operator is unbounded from below and above, so the associated energy functional is strongly indefinite. By using linking theorem for strongly indefinite functionals, we obtain a new multiplicity result of solutions when the nonlinearity has asymptotic quadratic growth.

中文翻译：

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具有非周期势的渐近二次Dirac-Poisson系统的解的多重性

在本文中，我们研究了一类具有非周期电势的Dirac-Poisson系统。Dirac算子不受上下约束，因此关联的能量泛函非常不确定。通过对强不确定函数使用链接定理，当非线性具有渐近二次增长性时，我们获得了新的多重解结果。