C1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

数学物理学报(英文版) ›› 1992, Vol. 12 ›› Issue (1): 33-41.

C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

严树森, 李工宝

Inst. of Math Sci., Academia Sinica, Wuhan 430071, China

收稿日期:1989-12-30 出版日期:1992-03-25 发布日期:1992-03-25
基金资助:
Supported by Youth Foundation, NSFC.

C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

Yan Shusen, Li Gongbao

Inst. of Math Sci., Academia Sinica, Wuhan 430071, China

Received:1989-12-30 Online:1992-03-25 Published:1992-03-25
Supported by:
Supported by Youth Foundation, NSFC.

摘要/Abstract

摘要： We use the blow-up method to get the C^1,α partial regularity results for the following elliptic systems satisfying natural growth conditions:
-D_αA_αⁱ(x,u,Du)=B_i(x,y,Du),x∈Ω,i=1,…,N,u∈W^1,q(Ω,R^N)∩L^∞(Ω,R^N),q ≥ 2.

严树森, 李工宝. C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS[J]. 数学物理学报(英文版), 1992, 12(1): 33-41.

Yan Shusen, Li Gongbao. C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS[J]. Acta mathematica scientia,Series B, 1992, 12(1): 33-41.

C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

C^1,α PARTIAL REGULARITY FOR SOLUTIONS OF NONLINEAR ELLIPTIC SYSTEMS

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