一类分数阶椭圆系统解的先验估计及渐近特性  

A Priori Estimates and Asymptotic Properties of Solutions for a Class of Fractional Elliptic Systems

作　　者：王贵军[1] WANG Guijun(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《应用数学》2023年第3期788-799,共12页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of Gansu(22JR11RE193);NSFC (11661070,11361054)。

摘　　要：在本文中,首先对有界光滑区域上的一类分数阶椭圆系统的解做了一致先验界估计.其次,研究了在R^(3)上预定积分下,解的渐近特性.In this paper,first,we make the uniform estimates of solutions for a class of fractional order elliptic systems in bounded and smooth domains.Second,we investigate the asymptotic properties of solutions with prescribed integration in R~3.

关 键 词：分数次椭圆系统 渐近行为 一致先验估计 Q-曲率 

分 类 号：O175.29[理学—数学]