Work

Properties of the Constrained Minimizers for Kirchhoff Type Energy Functionals With Inhomogeneous Interactions

Year: 2025

Type: article

Abstract: ABSTRACT We consider the properties of the constrained minimizers for a class of Kirchhoff type energy functionals with inhomogeneous interactions . When , it is known that there exists , where is the unique positive radial solution of , such that the minimizer exists if and only of . The aim of this paper is to investigate the limiting behavior of minimizers as approaches 0 for any . More specially, we prove that all the mass of the minimizers must concentrate at a global minimum point of trapping potential as approaches 0, where is also a global maximum point of .

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11106

Authors: Helin Guo, Haolin Liu, Lingling Zhao

Institution: Taiyuan University of Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Taiyuan University of Technology

Award: G5576900998