高維空間的Beltrami方程組.pdf

1、河北大學碩士學位論文高維空間的Beltrami方程組姓名：何茜申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：高紅亞20080501AbstractAbstractThispaperconcernsthehigh—dimellsionalBeltramisystemD‘，(z)日(z)D，(z)=J(z，，)2／nIdbyas8umingthematrix日(z)∈s(n)satisfiestheuniformlyellipticcondit

2、ionQIfl2≤(日(z)∈，f)≤pI∈12usingenergyfunctionalandvariationalmethods，wederivethatD，(z)satis丘esahomogeneouseUipticequationD4(z，D，(z))=oTheCaccioppoliinequalityofgeneralizedsolutionsoftheBeltrami8ystemiSobtainedIfweconsiderB

3、eltramisysteminhighdimensionaldomainsQCRn，n≥2，whereIdistheidentitymatriXandH(z)∈s(n)isannnmatriX：positive，symmetricwithdeterminant1，usingthetechniqueofe賦erioralgebraacoupleofrelatedequationsarederivedKeywordsBeltramisyst