含Hardy位势的非线性Schrödinger-Poisson方程正规化解的多重性

Abstract

Abstract:

In this paper, we concern the multiplicity of normalized solutions for a class of nonlinear Schrödinger-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.

Key words: Schrödinger-Poisson equation, Hardy potential, Normalized solution, Multiplicity

CLC Number:

O175.2

Mengxue Du, Fanghui Li, Zhengping Wang. Multiplicity of Normalized Solutions for Nonlinear Schrödinger-Poisson Equation with Hardy Potential[J].Acta mathematica scientia,Series A, 2022, 42(2): 442-453.

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Multiplicity of Normalized Solutions for Nonlinear Schrödinger-Poisson Equation with Hardy Potential

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