渐近线性Dirac方程的相对Morse指标及其多解性

Relative Morse Index and Multiple Solutions for Asymptotically Linear Dirac Equation

该文主要研究Dirac方程周期解的存在性和多重性.通过引入相对Morse指标对相应的线性Dirac方程进行分类,并给出解存在的扭转性条件.

This paper is concerned with the existence and multiplicity of periodic solutions for Dirac equation.We will establish a relative Morse index theory to classify the associated linear Dirac equation.Under a general twist condition for the nonlinear part via the relative Morse index,existence of multiple solutions are obtained.