Concentration behavior and uniqueness of constraint minimizers for Hartree energy functional in ${\mathbb {R}}^4$

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发表日期：

2025年5月23日

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Wenning Liang,
Yan Li

摘要

This paper is concerned with constraint minimizers of the Hartree energy functional with Kirchhoff-type perturbation in ${\mathbb {R}}^4$ $R^{4}$ . By using energy estimates and blow-up analysis, we investigate the concentration behavior of constraint minimizers for the Hartree energy functional as $\rho \rightarrow \infty $ $ρ \to \infty$ . Moreover, the local uniqueness of constraint minimizers is also induced by concentration for sufficiently $\rho >0$ $ρ > 0$ .

Concentration behavior and uniqueness of constraint minimizers for Hartree energy functional in \({\mathbb {R}}^4\)

摘要