Boundary regularity result for quasilinear elliptic systems

نویسندگان

  • Shuhong Chen
  • Zhong Tan
چکیده

* Correspondence: shiny0320@163. com Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China Full list of author information is available at the end of the article Abstract We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under controllable growth condition, and obtain a general criterion for a weak solution to be regular in the neighborhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the singular set at the boundary.

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تاریخ انتشار 2012