Boundary regularity for elliptic systems under a natural growth condition
Accepted Paper
(2010)
Author:Lisa Beck Journal: Ann. Mat. Pura Appl. [MathSciNet] Abstract:
We consider vector-valued weak solutions u Î u0 + W1,20(W,RN) ÇL¥(W,RN)
of second order nonlinear elliptic systems of the type
- div a (·,u,Du) = b(·,u,Du) in W
with an inhomogeneity satisfying a natural growth condition. In dimensions n Î {2,3,4} we show that Hn-1-almost every boundary point is a regular point for Du, provided that the boundary
data and the coefficients are sufficiently smooth.
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