Optimal shape design problems for a class of systems described by hemivariational inequalities

被引:16
作者
Denkowski, Z [1 ]
Migorski, S [1 ]
机构
[1] Jagiellonian Univ, Inst Comp Sci, PL-30072 Krakow, Poland
关键词
optimal shape design; hemivariational inequality; lower semicontinuity; Mosco convergence; Clarke subdifferential;
D O I
10.1023/A:1008299801203
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Optimal shape design problems for systems governed by an elliptic hemivariational inequality are considered. A general existence result for this problem is established by the mapping method.
引用
收藏
页码:37 / 59
页数:23
相关论文
共 34 条
[1]  
Aubin Jean-Pierre, 2009, Set-valued analysis
[2]  
Boccardo L., 1982, RES NOTES MATH, V60, P64
[3]  
BREZIS H., 1973, North-Holland Math. Stud., V5
[4]  
BUTTAZZO G, 1992, 124M SISSA
[5]   VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].
CHANG, KC .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 80 (01) :102-129
[6]  
Clarke FH, 1983, OPTIMIZATION NONSMOO
[7]   SOME NECESSARY AND SUFFICIENT CONDITIONS FOR THE CONVERGENCE OF SEQUENCES OF UNILATERAL CONVEX-SETS [J].
DALMASO, G .
JOURNAL OF FUNCTIONAL ANALYSIS, 1985, 62 (02) :119-159
[8]   EVOLUTION-EQUATIONS WITH LACK OF CONVEXITY [J].
DEGIOVANNI, M ;
MARINO, A ;
TOSQUES, M .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1985, 9 (12) :1401-1443
[9]  
DENKOWSKI Z, 1997, IN PRESS P C TOPOLOG
[10]  
DENKOWSKI Z, 1997, IN PRESS P 12 C VAR