Work

A note on the mass-critical inhomogeneous generalized Hartree equation

Year: 2025

Type: article

Abstract: The objective of this study is to investigate the inhomogeneous nonlinear generalized Hartree equation within the mass-critical regime. Precisely, we give a threshold of global existence versus blow-up of energy solutions depending on the size of the mass compared with the $L^{2}$ norm of the associated ground state. This complements the existing literature to the case of a non-local source term.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02107-6

Authors: Saleh S. Almuthaybiri, Tarek Saanouni

Institution: Qassim University

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: Qassim University