带混合色散项的非线性薛定谔方程归一化驻波解的存在性
Existence of Normalized Standing Waves for a Nonlinear Schrödinger Equation with Mixed Dispersion
摘要: 本文研究了带混合色散项的非线性薛定谔方程归一化驻波解的存在性结果，证明了三维情况下方程基态解的存在性。主要研究方法是基于极小极大方法和集中紧性原理。
Abstract: In this paper, we study the existence of normalized standing wave solutions for a nonlinear Schrödinger equation with mixed dispersion, and prove the existence of ground state solutions in the three-dimensional case. The main analytical approaches are based on the minimax approach and Concentration-compactness Lemma.
文章引用：何涛. 带混合色散项的非线性薛定谔方程归一化驻波解的存在性[J]. 理论数学, 2025, 15(5): 194-202. https://doi.org/10.12677/pm.2025.155168

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