摘要
利用MuckenhouptA_2类权函数的Sobolev空间H~1(Ω,R~N,λ)和(Ω,R,λ)嵌入不等式,证明一类拟线性退缩椭圆组弱解的L~P估计和全局正则性。
Under growth condition,we prove the L ̄P -estimate for the gradient of weaksolutions to a class of degenerate nonlineat elliptic systems and the global regularity ofweak solutions to a class of degenerate quasilinear elliptic systems.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
1994年第2期24-31,共8页
Acta Scientiarum Naturalium Universitatis Sunyatseni
关键词
退缩椭圆组
L^P估计
全局正则性
Degenerate elliptic systems,L ̄P-estimate,Global regularity