Some interior regularity results for solutions of Hessian equations

被引：19

作者：

Urbas, J ^{[1
]}

机构：

[1] Australian Natl Univ, Sch Math Sci, Ctr Math & Applicat, Canberra, ACT 0200, Australia

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 11卷 / 01期

关键词：

D O I：

10.1007/s005260050001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove monotonicity formulae related to degenerate k-Hessian equations which yield Morrey type estimates for certain integrands involving the second derivatives of the solution. In the special case k = 2 we deduce that weak solutions in W-2,W-p(Omega), p > n-1, have locally Holder continuous gradients. In the nondegenerate case we also show that weak solutions in W-2,W-p(Omega), p > kn/2, have locally bounded second derivatives.

引用

页码：1 / 31

页数：31

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