Linear second-order divergence equations in Lipschitz domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:344

Article

Yao, Fengping^1,2  Zhou, Shulin² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

关键词: Orlicz;    Lipschitz domains;    second-order;    divergence;    small BMO;   

DOI  :  10.1016/j.jmaa.2008.02.054

来源: Elsevier

【 摘 要 】

In this paper we generalize gradient estimates in L-p spaces to Orlicz spaces for weak solutions of second-order divergence elliptic equations with small BMO coefficients in Lipschitz domains. Our results improve the known results for such equations using the harmonic analysis method. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free