A　NOTE　ON　REGULARITY　AND　EXISTENCE　OF　SOLUTIONS　FOR　A　CLASS　OF　NON－UNIFORMLY　DEGENERATE　ELLIPTIC　EQUATIONS  

作　　者：LI JUNJIE(Dept.of Math.,Zhejiang University,Hangzhou,310027) 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》1994年第1期55-64,共10页高校应用数学学报（英文版）（B辑）

摘　　要：In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0<b(x)<1,0<o<P.We establish that if Aand B are under some structure conditions and 0<or S P<max{aam +k,o+1}tthen there exists a CI+o-solution of(0.1)associated with the Dirichlet boundary dsta.In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0<b(x)<1,0<o<P.We establish that if Aand B are under some structure conditions and 0<or S P<max{aam +k,o+1}tthen there exists a CI+o-solution of(0.1)associated with the Dirichlet boundary dsta.

关 键 词：Elliptic Equation Non-uniformly Degenerate. 

分 类 号：O175.25[理学—数学]