Higher integrability for nonlinear elliptic equations with variable growth and discontinuous coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:418

Article

Zhang, Xia¹  Huo, Yan²  Fu, Yongqiang¹ 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Harbin Engn Univ, Coll Aerosp & Civil Engn, Harbin 150001, Peoples R China

关键词: Variable exponent Sobolev space;    Orlicz space;    Gradient estimate;   

DOI  :  10.1016/j.jmaa.2014.04.010

来源: Elsevier

【 摘 要 】

In this paper, based on the theory of variable exponent spaces, we study the higher integrability for a class of nonlinear elliptic equations with variable growth and discontinuous coefficients. Under suitable assumptions, we obtain a local gradient estimate in Orlicz space for weak solution. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free