Asymptotically regular operators in generalized Morrey spaces

被引：8

作者：

Byun, Sun-Sig ^{[1
]}

Softova, Lubomira ^{[2
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Univ Salerno, Dept Math, I-84084 Fisciano, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 52卷 / 01期

关键词：

35K20 (primary); 35B65; 35B45; 35R05; 46E30; 35K40 (secondary); CALDERON-ZYGMUND THEORY; ELLIPTIC-EQUATIONS; GRADIENT; COEFFICIENTS; CALCULUS;

D O I：

10.1112/blms.12306

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain Calderon-Zygmund-type estimates in generalized Morrey spaces Lq,phi(omega) for nonlinear equations of p-Laplacian type. Our result is obtained under minimal regularity assumptions on both the operator and the domain omega. This result allows us to study more general class of nonlinear equations which are asymptotically regular, that is, 'near' enough to some nonlinear operator of p-Laplacian type. As a by-product, we obtain also generalized Holder regularity C0,phi(omega) of the solution under some restrictions on the generalizing function phi.

引用

页码：64 / 76

页数：13

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