吉林大学学报(理学版)2012,Vol.50Issue(5):957-960,4.
一类积分不等式及其变分计算
Integral Inequalities and Their Calculus of Variations
摘要
Abstract
Hardy-Littlewood-Sobolev ( HLS) inequality and the Wolff inequality were used to obtain the If estimate of the Wolff potentials. At the same time, Euler-Lagrange equations of the extremal functions for the more general weighted HLS inequalities were also established by means of the method of calculus of variations.关键词
Hardy-Littlewood-Sobolev不等式/Wolff位势/变分计算/分数阶微分方程组Key words
Hardy-Littlewood-Sobolev inequality/ Wolff potential/ calculus of variations/ fractional order partial differential equations (PDEs)分类
数理科学引用本文复制引用
王贝,雷雨田..一类积分不等式及其变分计算[J].吉林大学学报(理学版),2012,50(5):957-960,4.基金项目
国家自然科学基金(批准号:10871097). (批准号:10871097)