数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2004年
3期
303-315
,共13页
C1,1局部估计%W2p强解%Hessian商方程%光滑性
C1,1跼部估計%W2p彊解%Hessian商方程%光滑性
C1,1국부고계%W2p강해%Hessian상방정%광활성
local C1,1 estimate%W2,p strong solution%Hessian quotient equation%smoothness
我们获得了一个Hessian商方程W2p强解当p＞n(n-1)/2时的C1,1局部估计,并证明了这些解是光滑的.有反例表明这个正则性结果在n=3时是最优的.
我們穫得瞭一箇Hessian商方程W2p彊解噹p＞n(n-1)/2時的C1,1跼部估計,併證明瞭這些解是光滑的.有反例錶明這箇正則性結果在n=3時是最優的.
아문획득료일개Hessian상방정W2p강해당p＞n(n-1)/2시적C1,1국부고계,병증명료저사해시광활적.유반례표명저개정칙성결과재n=3시시최우적.
We obtain the local C1,1 estimates for the W2,p strong solutions of a Hessian quotient equations with p ＞ n(n-1)/2, and then prove these solutions are smooth. There is a counterexample to show that this regularity result is optimal for n = 3.
