Chunhong Li, Tiantian Zhou
Abstract:
This article concerns the discrete Stein-Weiss inequalities with finite
terms and with infinite terms. Such inequalities can be used to study the
discrete Coulomb energy, nonlinear problems appearing the crystal
lattice theory and graphs in neural networks.
We give the limit relations between their best constants and between
their extremal sequences.
In addition, we obtained analogous conclusions for the reversed discrete
Stein-Weiss inequality.
Submitted September 9, 2024. Published March 14, 2025.
Math Subject Classifications: 26D15, 40B05.
Key Words: Discrete Stein-Weiss inequality; best constant; reversed discrete Stein-Weiss inequality; extremal sequence
DOI: 10.58997/ejde.2025.28
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| Chunhong Li College of Mathematics and Computer Science Guangxi Science and Technology Normal University Laibin, 546100, Guangxi, China email: lichunhong@gxstnu.edu.cn | |
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Tiantian Zhou Institute of Mathematics School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China email: zhoutiantiannj@163.com |
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