Lp ESTIMATES FOR DEGENERATE ELLIPTIC SYSTEMS WITH VMO COEFFICIENTS

被引：3

作者：

Di Fazio, G. ^{[1
]}

Fanciullo, M. S. ^{[1
]}

Zamboni, P. ^{[1
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

ST PETERSBURG MATHEMATICAL JOURNAL | 2014年 / 25卷 / 06期

关键词：

Muckenhoupt weights; degenerate elliptic systems; VMO; DIFFERENTIAL-EQUATIONS; DIRICHLET PROBLEM; HOLDER REGULARITY; DIVERGENCE-FORM; OPERATORS; BOUNDARY;

D O I：

10.1090/S1061-0022-2014-01322-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Interior L-p gradient weighted estimates are proved for degenerate elliptic systems in divergence form with VMO coefficients.

引用

页码：909 / 917

页数：9

共 35 条

[1] ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) : 623 - 727
[2] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2.
AGMON, S
DOUGLIS, A
NIRENBERG, L
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) : 35 - &
[3] [Anonymous], 1963, Ann. Mat. Pura Appl.
[4] [Anonymous], 1991, Ric. Mat.
[5] [Anonymous], 2002, PHYS REV LETT
[6] [Anonymous], 1965, BOLL UNIONE MAT ITAL
[7] W(P)(1,2) SOLVABILITY FOR THE CAUCHY-DIRICHLET PROBLEM FOR PARABOLIC EQUATIONS WITH VMO COEFFICIENTS
BRAMANTI, M
CERUTTI, MC
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (9-10) : 1735 - 1763
[8] Lp estimates for nonvariational hypoelliptic operators with VMO coefficients
Bramanti, M
Brandolini, L
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (02) : 781 - 822
[9] Bramanti M, 2013, ADV DIFFERENTIAL EQU, V18, P955
[10] Elliptic equations with BMO nonlinearity in Reifenberg domains
Byun, Sun-Sig
Wang, Lihe
[J]. ADVANCES IN MATHEMATICS, 2008, 219 (06) : 1937 - 1971

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