Regularity of solutions of divergence form elliptic equations

被引：46

作者：

Ragusa, MA ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 02期

关键词：

elliptic equations; Morrey spaces; VMO;

D O I：

10.1090/S0002-9939-99-05165-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study local regularity in the Morrey spaces L-p,L-lambda of the first derivatives of the solutions of an elliptic second order equation in divergence form [GRAPHICS] where f is assumed to be in some L-p,L-lambda spaces and the coefficients a(ij) belong to the space VMO.

引用

页码：533 / 540

页数：8

共 11 条

[1] ON BMO REGULARITY FOR LINEAR ELLIPTIC-SYSTEMS [J].

ACQUISTAPACE, P .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1992, 161 :231-269

[2] W2,P-SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDIVERGENCE ELLIPTIC-EQUATIONS WITH VMO COEFFICIENTS [J].

CHIARENZA, F ;

FRASCA, M ;

LONGO, P .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (02) :841-853

[3]

Chiarenza F., 1991, RIC MAT, V40, P149

[4]

Chiarenza F., 1987, Rend Mat Appl (7), V7, P273

[5]

DiFazio G, 1996, B UNIONE MAT ITAL, V10A, P409

[6] INTERIOR ESTIMATES IN MORREY SPACES FOR STRONG SOLUTIONS TO NONDIVERGENCE FORM EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [J].

DIFAZIO, G ;

RAGUSA, MA .

JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 112 (02) :241-256

[7] ON FUNCTIONS OF BOUNDED MEAN OSCILLATION [J].

JOHN, F ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1961, 14 (03) :415-&

[8]

MANFREDINI M, IN PRESS B U M I

[9] Sobolev-Morrey spaces related to an ultraparabolic equation [J].

Polidoro, S ;

Ragusa, MA .

MANUSCRIPTA MATHEMATICA, 1998, 96 (03) :371-392

[10]

SARASON D, 1975, T AM MATH SOC, V207, P391

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