一类带变号非线性项Dirac方程解的存在性

Existence of solutions for a Dirac equation with sign-changing nonlinearity

本文讨论一类具有周期性的非线性Dirac方程.在适当的条件下,当非线性项是超线性的并且变号时,利用变分方法得到Dirac方程至少有一个非平凡解.

In this paper,we consider a class of periodically nonlinear Dirac equations.Under certain assumptions,we obtain that there exists at least one non-trivial solution for the super-linear Dirac equation with signchanging nonlinearity via the variational method.