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 50 条

[41] W2,d estimates for solution sets of fully nonlinear elliptic inequalities on C1,αdomains
Li, Dongsheng
Li, Xuemei
JOURNAL OF FUNCTIONAL ANALYSIS, 2023, 285 (04)
[42] W2,p Estimates Estimates for elliptic equations on C1,α domains
Li, Dongsheng
Li, Xuemei
Zhang, Kai
MATHEMATISCHE ANNALEN, 2023, 387 (1-2) : 57 - 78
[43] A-PRIORI ESTIMATES AND A LIOUVILLE THEOREM FOR ELLIPTIC MONGE-AMPERE EQUATIONS
SCHULZ, F
MATHEMATISCHE ANNALEN, 1983, 264 (04) : 475 - 483
[44] A-priori bounds and positive solutions to a class of quasilinear elliptic equations
Montenegro, M
de Paiva, FOV
CONTRIBUTIONS TO NONLINEAR ANALYSIS: A TRIBUTE TO D. G. DE FIGUEIREDO ON THE OCCASION OF HIS 70TH BIRTHDAY, 2006, 66 : 407 - +
[45] A-PRIORI INCREASE IN SOLUTIONS TO STABLE STOCHASTIC DIFFERENTIAL-EQUATIONS
LAPEYRE, B
LECTURE NOTES IN MATHEMATICS, 1988, 1316 : 340 - 351
[46] LINEAR ELLIPTIC PDES - LEVEL SETS, REARRANGEMENTS AND A-PRIORI ESTIMATES OF SOLUTIONS
TALENTI, G
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1985, 4B (03): : 917 - 949
[47] A PRIORI ESTIMATES OF THE DERIVATIVES OF SOLUTIONS OF THE BELLMAN EQUATIONS
NOSOVSKII, GV
MATHEMATICAL NOTES, 1987, 41 (5-6) : 399 - 403
[48] A priori estimates for solutions of anisotropic elliptic equations
Vetois, Jerome
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (09) : 3881 - 3905
[49] PRIORI ESTIMATES OF SOLUTIONS TO DEGENERATING ELLIPTIC EQUATIONS
FREIDLIN, MI
DOKLADY AKADEMII NAUK SSSR, 1964, 158 (02): : 281 - &
[50] Some a priori estimates of solutions to the Maxwell equations
Kristensson, Gerhard
Wellander, Niklas
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (11) : 2194 - 2215

← 1 2 3 4 5 →