ONE-DIMENSIONAL VARIATIONAL-PROBLEMS WHOSE MINIMIZERS DO NOT SATISFY THE EULER-LAGRANGE EQUATION

被引:156
作者
BALL, JM
MIZEL, VJ
机构
[1] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213
[2] UNIV WISCONSIN,MATH RES CTR,MADISON,WI 53706
[3] UNIV MINNESOTA,INST MATH & APPLICAT,MINNEAPOLIS,MN 55455
关键词
D O I
10.1007/BF00276295
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:325 / 388
页数:64
相关论文
共 37 条
[1]  
ANGELL TS, 1979, REND CIRC MAT PALERM, V28, P258
[2]  
Ball J., 1977, HERRIOT WATT S NONLI, V1, P187
[3]  
BALL J, 1984, LECTURE NOTES PHYSIC, V195
[4]   DISCONTINUOUS EQUILIBRIUM SOLUTIONS AND CAVITATION IN NON-LINEAR ELASTICITY [J].
BALL, JM .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 306 (1496) :557-611
[5]   SINGULAR MINIMIZERS FOR REGULAR ONE-DIMENSIONAL PROBLEMS IN THE CALCULUS OF VARIATIONS [J].
BALL, JM ;
MIZEL, VJ .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 11 (01) :143-146
[6]  
BALL JM, 1984, J FUNCT ANAL, V58, P225, DOI 10.1016/0022-1236(84)90041-7
[7]  
BOLZA O, 1961, LECTURES CALCULUS VA
[8]  
Carr J., 1981, APPL MATH SCI SERIES, V35
[9]  
Cesari L., 1983, OPTIMIZATION THEORY
[10]  
CINQUINI S, 1974, RIV MAT U PARMA, V3, P139