MAXIMUM-PRINCIPLES AND A PRIORI ESTIMATES FOR A CLASS OF PROBLEMS FROM NONLINEAR ELASTICITY

被引：45
|
作者：
BAUMAN, P [1 ]
OWEN, NC [1 ]
PHILLIPS, D [1 ]
机构：
[1] UNIV SHEFFIELD,DEPT APPL & COMPUTAT MATH,SHEFFIELD S10 2TN,S YORKSHIRE,ENGLAND
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1991年 / 8卷 / 02期
关键词：
NONLINEAR ELLIPTIC SYSTEM; ELASTIC MATERIAL;
D O I：
10.1016/S0294-1449(16)30269-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider smooth solutions, U, to the nonlinear elliptic system associated with a two dimensional elastic material which has energy functional [GRAPHICS] The function H (d) is nonnegative, convex and unbounded in a neighborhood of zero. Two maximum principles are proved for DU and we show that if OMEGA' subset-of subset-of OMEGA then parallel-to DU parallel-to C-alpha(OMEGA') and parallel-to DU-1 parallel-to L infinity (OMEGA') are bounded a priori in terms of parallel-to DU parallel-to L(p)(OMEGA) and W (U) for some p = p (H).
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页码：119 / 157
页数：39
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