Optimal Partial Regularity for Nonlinear Elliptic Systems of Higher Order

J. Math. Sci. Univ. Tokyo
Vol. 8 (2001), No. 3, Page 463--499.

Duzaar, Frank ; Gastel, Andreas ; Grotowski, Joseph F.
Optimal Partial Regularity for Nonlinear Elliptic Systems of Higher Order
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Abstract:
We consider the question of partial regularity for weak solutions to homogeneous nonlinear elliptic systems of higher order in divergence form. As well as characterizing the singular set, we show optimal regularity for the solution on its regular set, optimality here being determined by the regularity of the coefficients.

Mathematics Subject Classification (2000): 35J45, 35G20, 35D10, 35J50
Mathematical Reviews Number: MR1855456

Received: 2001-01-15