分数阶Kirchhoff能量泛函的极小值的性质

IF 0.5 4区数学 Q3 MATHEMATICS

Journal of Mathematical Physics Analysis Geometry Pub Date : 2023-08-01 DOI:10.1063/5.0157267

Lintao Liu, K. Teng, Jie Yang, Haibo Chen

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引用次数: 0

摘要

本文研究具有一般强制势的分数阶Kirchhoff方程。首先，对于相关的约束最小化问题，我们考虑了l2约束最小化的存在性和不存在性。最重要的是，通过对一些精细的能量估计构造适当的试函数和研究解序列的衰减性质，我们建立了相关约束最小化问题的l2约束最小化的集中行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Properties of minimizers for the fractional Kirchhoff energy functional

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.

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来源期刊

Journal of Mathematical Physics Analysis Geometry PHYSICS, MATHEMATICAL-

CiteScore

0.70

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Mathematical Physics, Analysis, Geometry (JMPAG) publishes original papers and reviews on the main subjects: mathematical problems of modern physics; complex analysis and its applications; asymptotic problems of differential equations; spectral theory including inverse problems and their applications; geometry in large and differential geometry; functional analysis, theory of representations, and operator algebras including ergodic theory. The Journal aims at a broad readership of actively involved in scientific research and/or teaching at all levels scientists.