Abstract and Applied Analysis

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

Shuhong Chen and Zhong Tan

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 676215, 8 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511871

Digital Object Identifier
doi:10.1155/2013/676215

Mathematical Reviews number (MathSciNet)
MR3049380

Zentralblatt MATH identifier
1277.35158

Citation

Chen, Shuhong; Tan, Zhong. Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition. Abstr. Appl. Anal. 2013 (2013), Article ID 676215, 8 pages. doi:10.1155/2013/676215. https://projecteuclid.org/euclid.aaa/1393511871


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