Regularity Result for Quasilinear Elliptic Systems with Super Quadratic Natural Growth Condition
Keyword(s):
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.
2010 ◽
Vol 190
(4)
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pp. 553-588
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2008 ◽
Vol 25
(1)
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pp. 133-156
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2002 ◽
Vol 27
(11-12)
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pp. 2491-2512
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2010 ◽
Vol 2010
(1)
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pp. 680714
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2007 ◽
Vol 27
(3)
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pp. 491-508
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1991 ◽
Vol s2-44
(3)
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pp. 514-524
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