C1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (3): 254-263.

C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

谭忠

Department of Mathematics, Xiamen University, Xianmen 361005, China

收稿日期:1991-07-05 修回日期:1992-11-14 出版日期:1995-09-25 发布日期:1995-09-25

C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Tan zhong

Department of Mathematics, Xiamen University, Xianmen 361005, China

Received:1991-07-05 Revised:1992-11-14 Online:1995-09-25 Published:1995-09-25

摘要/Abstract

摘要： We prove C^1,α-partial regularity of weak solutions of nonlinear elliptic systems
-Σ_a=1ⁿD_aA_i^a(x,u,Du)=B_i(x,u,Du) i=1,…,N under the main assumption that A_i^a and B_i satisfy the controllable growth condition or the natural growth condition.

关键词: nonlinear elliptic systems, controllable growth condition, natural growth condition, partial regularity

Abstract: We prove C^1,α-partial regularity of weak solutions of nonlinear elliptic systems
-Σ_a=1ⁿD_aA_i^a(x,u,Du)=B_i(x,u,Du) i=1,…,N under the main assumption that A_i^a and B_i satisfy the controllable growth condition or the natural growth condition.

Key words: nonlinear elliptic systems, controllable growth condition, natural growth condition, partial regularity

谭忠. C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS[J]. 数学物理学报(英文版), 1995, 15(3): 254-263.

Tan zhong. C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS[J]. Acta mathematica scientia,Series B, 1995, 15(3): 254-263.

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[5]	陈淑红; 谭忠. OPTIMAL INTERIOR PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS UNDER THE NATURAL GROWTH CONDITION: THE METHOD OF A-HARMONIC APPROXIMATION[J]. 数学物理学报(英文版), 2007, 27(3): 491-508.

C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

C^1,α-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

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