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

Shuhong Chen and Zhong Tan

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:676215

DOI: 10.1155/2013/676215

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