简怀玉
Jian Huaiyu Department of Applied Mathematics
本文研究一类2k阶非线性偏微分方程组之解的正则性,没有假定通常的椭圆性条件而只假定所谓"无穷远处"的椭圆性条件,证明了解的k-1阶导数为李普希兹连续的.
In this paper we prove that if u is a weak solution of some kind of nonlinear partial differential systems of 2kth order which satisfies the usual ellipticity condition only at infinity, then u has (k-1)th lipschitz continuous derivatives.
简怀玉.某类高阶非线性偏微分方程组弱解的正则性[J].湖南大学学报:自然科学版,1990,17(3):