一类退化椭圆系统的线性特征值问题

摘要

通过对一类退化椭圆系统线性特征值问题的研究，得到了其线性特征值问题的一列无界的递增的特征值序列。同时，还给出了特征值序列以及对应的特征函数序列的若干性质，这为进一步研究退化椭圆系统的近共振问题奠定了理论基础。%By studying the linear eigenvalue problems of a class of degenerate elliptic system, the author gets an unbounded, increasing sequence of eigenvalues, and gives the corresponding eigenvalue sequence and the sequence number of the characteristic function nature of this system, which establishes a theoretical foundation for the further study of degenerate elliptic problems near resonance.