GLOBAL REGULARITY IN ORLICZ-MORREY SPACES OF SOLUTIONS TO NONDIVERGENCE ELLIPTIC EQUATIONS WITH VMO COEFFICIENTS

被引：0
作者：
Guliyev, Vagif S. [1 ,2 ,3 ]
Ahmadli, Aysel A. [4 ]
Omarova, Mehriban N. [3 ,5 ]
Softova, Lubomira [6 ]
机构：
[1] Ahi Evran Univ, Dept Math, TR-40100 Kirsehir, Turkey
[2] Rudn Univ, SM Nikolskii Inst Math, Moscow 117198, Russia
[3] Inst Math & Mech, AZ-1141 Baku, Azerbaijan
[4] Dumlupinar Univ, Dept Math, TR-40100 Kytahya, Turkey
[5] Baku State Univ, AZ-1141 Baku, Azerbaijan
[6] Univ Salerno, Dept Math, Fisciano, Italy
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年
关键词：
Generalized Orlicz-Morrey spaces; Calderon-Zygmund integrals; commutators; VMO; elliptic equations; Dirichlet problem; SINGULAR INTEGRAL-OPERATORS; MAXIMAL OPERATOR; DIRICHLET PROBLEM; COMMUTATORS; BOUNDEDNESS; HARDY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show continuity in generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n) of sublinear integral operators generated by Calderon-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operator L = Sigma(3)(i,j=1) a(ij)(x)D-ij with discontinuous coefficients. We show that Lu is an element of M-Phi,M-phi implies the second-order derivatives belong to M-Phi,M-phi.
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页数：24
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