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 50 条

[31] Riesz transforms and elliptic PDEs with VMO coefficients
Iwaniec, T
Sbordone, C
JOURNAL D ANALYSE MATHEMATIQUE, 1998, 74 (1): : 183 - 212
[32] Observations on W1,p estimates for divergence elliptic equations with VMO coefficients.
Auscher, P
Qafsaoui, M
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 2002, 5B (02): : 487 - 509
[33] Regularity of Solutions to Elliptic Equations with VMO Coefficients
Chen, Ye Min
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (06) : 1103 - 1118
[34] SCHAUDER ESTIMATES FOR DEGENERATE ELLIPTIC AND PARABOLIC PROBLEMS WITH UNBOUNDED COEFFICIENTS IN RN
Lorenzi, Luca
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2005, 18 (05) : 531 - 566
[35] Lp-estimates for a class of elliptic operators with unbounded coefficients in RN
Metafune, G
Pallara, D
Vespri, V
HOUSTON JOURNAL OF MATHEMATICS, 2005, 31 (02): : 605 - 620
[36] SOME Lp-ESTIMATES FOR ELLIPTIC AND PARABOLIC OPERATORS WITH MEASURABLE COEFFICIENTS
Krylov, N. V.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (06): : 2073 - 2090
[37] Schauder type estimates for degenerate or singular elliptic equations with DMO coefficients
Hongjie Dong
Seongmin Jeon
Stefano Vita
Calculus of Variations and Partial Differential Equations, 2024, 63 (9)
[38] Lp theory for fractional gradient PDE with VMO coefficients
Schikorra, Armin
Shieh, Tien-Tsan
Spector, Daniel
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2015, 26 (04) : 433 - 443
[39] The Fredholm alternative for second-order linear elliptic systems with vmo coefficients
Habre, SS
HOUSTON JOURNAL OF MATHEMATICS, 1996, 22 (02): : 417 - 433
[40] A LIOUVILLE THEOREM FOR ELLIPTIC SYSTEMS WITH DEGENERATE ERGODIC COEFFICIENTS
Bella, Peter
Fehrman, Benjamin
Otto, Felix
ANNALS OF APPLIED PROBABILITY, 2018, 28 (03): : 1379 - 1422

← 1 2 3 4 5 →