Potential estimates of superquadratic elliptic systems with VMO coefficients in Reifenberg domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:477

Article

Zhou, Feng¹  Zhang, Zhenqiu^2,3  Ma, Lingwei² 

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250358, Shandong, Peoples R China

[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

关键词: Superquadratic nonlinear elliptic system;    Wolff potential;    Reifenberg flat domains;    Lorentz space;    Morrey space;   

DOI  :  10.1016/j.jmaa.2019.04.064

来源: Elsevier

【 摘 要 】

The purpose of this paper is to study an inhomogeneous Dirichlet problem of a superquadratic nonlinear elliptic system with VMO coefficients in Reifenberg flat domains. We derive pointwise potential estimates for weak solution to the Dirichlet problem. As a consequence, we derive global integrability estimates for solutions with respect to Lorentz and Morrey norms. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free