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.
雑誌名
Journal of mathematical sciences, the University of Tokyo
Optimal Partial Regularity for Nonlinear Elliptic Systems of Higher Order
jms080304.pdf
(274.48KB)
