W2,N A-PRIORI ESTIMATES FOR SOLUTIONS TO FULLY NONLINEAR EQUATIONS

被引：101

作者：

ESCAURIAZA, L

机构：

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1993年 / 42卷 / 02期

关键词：

D O I：

10.1512/iumj.1993.42.42019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend a theorem of L. Caffarelli on a priori W2,p estimates, p > n, for solutions to fully nonlinear operators on R(n) to the range p > n - epsilon, where epsilon is a number depending on the parameters of ellipticity.

引用

页码：413 / 423

页数：11

共 10 条

[1] CAFFARELLI L, 1989, ANN MATH, V140, P189
[2] CERUTTI C, IN PRESS ANN MATH PU
[3] ESCAURIAZA L, IN PRESS P AM MATH S
[4] FABES E, 1984, DUKE MATH J, V41, P977
[5] Pucci C., 1966, ANN MAT PUR APPL, V72, P141
[6] Pucci C., 1966, ANN MAT PUR APPL, V74, P15, DOI DOI 10.1007/BF02416445
[7] HIGHER INTEGRABILITY FROM REVERSE HOLDER INEQUALITIES
STREDULINSKY, EW
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1980, 29 (03) : 407 - 413
[8] WANG L, 1992, COMMUN PUR APPL MATH, V44, P144
[9] ON THE REGULARITY THEORY OF FULLY NONLINEAR PARABOLIC EQUATIONS .1.
WANG, LH
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (01) : 27 - 76
[10] [No title captured]

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