Work

On Hartree-type problems with mass subcritical perturbations

Year: 2026

Type: article

Abstract: We investigate the normalized solutions of the Hartree-type equation with the external harmonic potential and the mass subcritical perturbation term, which can be characterized by the constraint minimization problem. Using direct energy estimates and regularity analysis, we establish the concentration phenomenon of positive minimizers. Based on this, the local uniqueness of positive minimizers is also proved by overcoming certain decay properties of the associated solution sequences and the variability of the harmonic potential under translations.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360726500128

Authors: Lintao Liu, Shuai Yuan

Institutions: North University of China, Hebei Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Shanxi Province, Science and Technology Support Plan for Youth Innovation of Colleges and Universities of Shandong Province of China

Awards: G1646948109, G4333649959, G715746073, G7379020468