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Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition

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  • Shuhong Chen
  • Zhong Tan

Abstract

We consider boundary regularity for weak solutions of second-order quasilinear elliptic systems under natural growth condition with super quadratic growth 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.

Suggested Citation

  • Shuhong Chen & Zhong Tan, 2013. "Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
  • Handle: RePEc:hin:jnlaaa:676215
    DOI: 10.1155/2013/676215
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