Partial regularity up to the boundary for solutions of subquadratic elliptic systems
2018 ◽
Vol 7
(4)
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pp. 469-483
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Keyword(s):
AbstractIn this paper, we are concerned with the nonlinear elliptic systems in divergence form under controllable growth condition. We prove that the weak solution u is locally Hölder continuous besides a singular set by using the direct method and classical Morrey-type estimates. Here the Hausdorff dimension of the singular set is less than {n-p}. This result not only holds in the interior, but also holds up to the boundary.
2007 ◽
Vol 335
(1)
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pp. 20-42
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2001 ◽
Vol 20
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pp. 315-330
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2007 ◽
Vol 123
(4)
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pp. 453-491
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1995 ◽
Vol 15
(3)
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pp. 254-263
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2012 ◽
Vol 387
(2)
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pp. 885-908
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2011 ◽
Vol 192
(3)
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pp. 475-527
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2010 ◽
Vol 27
(3)
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pp. 981-993
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2010 ◽
Vol 2010
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pp. 680714
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