紧Spin流形上具有凹凸非线性项的Dirac方程解的存在性

Existence of solutions for Dirac equations with concave and convex nonlinear terms on compact Spin manifolds

利用变分方法研究了紧Spin流形上具有凹凸非线性项的Dirac方程解的存在性,得到了2列具有趋于零的负能量序列解和无界能量序列解.

The existence of solutions for Dirac equations with concave and convex nonlinear terms on compact Spin manifolds is researched by using the variational method,two sequences of solutions with negative energy converging to zero and unbounded energy are obtained.