Work

Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth

Year: 2025

Type: article

Abstract: ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions. Also, the orbital stability of standing waves is obtained under local well‐posedness assumptions of the evolution problem.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11028

Authors: Hua Jin, Yanyun Chang, Marco Squassina, Jianjun Zhang

Institutions: China University of Mining and Technology, Università Cattolica del Sacro Cuore, Chongqing Jiaotong University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

Funders: National Natural Science Foundation of China, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Fundamental Research Funds for the Central Universities