与A-调和方程有关的两个结果(英文)  

Two Results Related to A-Harmonic Equations

作　　者：高红亚[1] 安敏[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《应用数学》2005年第1期148-152,共5页Mathematica Applicata

基　　金：SupportbytheNationalNaturalScienceFoundationofChina ;MathematicsTianyuanYouthFoun dation(A0 32 4 610 )andtheDoctoralFoundationoftheDepartmentofEducationofHebeiProvince(B2 0 0 4 10 3)

摘　　要：给出两个与A 调和方程有关的结果 .第一个结果是一类A 调和方程的很弱解可由调和函数逼近 .Two results related to A harmonic equations are given.The first one is that the very weak solutions of a kind of A harmonic equation can be approximated by harmonic functions.The second one is a sufficient and necessary condition for weak minima of variational integrals.

关 键 词：很弱解 A-调和方程 弱极值 变分积分 HODGE分解 

分 类 号：O174.45[理学—数学] O175.23[理学—基础数学]