BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS

BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS

We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point. Combined with existing results on interior partial regularity, this result y...

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Veröffentlicht in:Communications in partial differential equations 2002-12, Vol.27 (11-12), p.2491-2512
1. Verfasser: Grotowski, Joseph F.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary regularity
Divergence form
Nonlinear elliptic systems
Partial regularity
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Zusammenfassung:We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood 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.
ISSN:0360-5302
1532-4133
DOI:10.1081/PDE-120016165