摘要
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.
出处
《湖南大学学报》
EI
CAS
CSCD
1990年第3期106-112,共7页
关键词
非线性
偏微分方程组
弱解
正则性
Sobolev space
nonlinear partial differential equation system
regularity/ellipticity conditions
blow up technique
