一类拟线性薛定谔方程规范化解的存在性和多重性
The Existence and Multiplicity of Normalized Solutions of a Class of Quasilinear Schr?dinger Equations
摘要: 本文利用扰动型方法证明了一类拟线性薛定谔方程基态规范化解的存在性和无穷多个规范化解的存在性。此外，分析了扰动泛函临界点的收敛性。
Abstract: In this paper, we proved the existence of ground state normalized solutions and the existence of in-finitely many normalized solutions of a class of quasilinear Schrödinger equations by applying the perturbation type method. Moreover, we study the convergence of the critical points of the pertur-bated functions.
文章引用：景丽, 滕凯民. 一类拟线性薛定谔方程规范化解的存在性和多重性[J]. 应用数学进展, 2022, 11(12): 8485-8503. https://doi.org/10.12677/AAM.2022.1112897

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