【摘要】 该文研究了含Hardy位势的非线性Schr?dinger-Poisson方程正规化解的多重性问题.首先利用喷泉定理的思想定义了一个极小极大值序列,然后证明这些极小极大值是限制在约束集合上的能量泛函的临界值,从而得到了方程正规化解的多重性,推广了相关文献的结果.更多还原

【Abstract】 In this paper,we concern the multiplicity of normalized solutions for a class of nonlinear Schrodinger-Poisson equation with Hardy potential.By using some ideas of the fountain theorem,we define a sequence of minimax values and prove that these minimax values are critical values of the energy functional limited to a constraint set.Then we get the multiplicity of normalized solutions,which extends some related results in the literature.更多还原