耦合Choquard方程组正规化解的存在性

Existence of Normalized Solutions of Coupled Choquard Equations

考虑一类耦合非线性Choquard方程组正规化解的存在性.在p取不同范围下,利用变分法,通过对能量泛函极小问题的讨论,得到方程组次临界、临界和超临界正规化解的存在性.该结果发展和推广了相关文献的结果.

We consider the existence of normalized solutions for a class of coupled nonlinear Choquard equations.For p in different ranges,we use the variational method to obtain the existence of subcritical,critical and supercritical normalized solutions of the equations.It develops and generalizes the relevant results in referred articles.