Properties of minimizers for the fractional Kirchhoff energy functional-Reference-Cited by-同舟云学术

Properties of minimizers for the fractional Kirchhoff energy functional

Published:2023-08-01 Issue:8 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Liu Lintao¹,Teng Kaimin²,Yang Jie³^ORCID,Chen Haibo¹^ORCID

Affiliation:

1. School of Mathematics and Statistics, Central South University 1 , Changsha 410083, People’s Republic of China

2. Department of Mathematics, Taiyuan University of Technology 2 , Taiyuan, Shanxi 030024, People’s Republic of China

3. School of Mathematics and Computational Science, Huaihua University 3 , Huaihua, Hunan 418008, People’s Republic of China

Abstract

In this paper, we are concerned with a fractional Kirchhoff equation with a general coercive potential. First, we consider some existence and nonexistence of L2-constraint minimizers for related constrained minimization problems. Most importantly, by constructing appropriate trial functions for some delicate energy estimates and studying decay properties of solution sequences, we then establish the concentration behaviors of L2-constraint minimizers for related constrained minimization problems.

Funder

Fundamental Research Funds for Central Universities of the Central South University

Natural Science Foundation of Hunan Province of China

Foundation for Innovative Research Groups of the National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0157267/18082864/081504_1_5.0157267.pdf

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