Digitale Medien
Springer
Journal of optimization theory and applications
59 (1988), S. 407-422
ISSN:
1573-2878
Schlagwort(e):
Lower semicontinuity
;
domain optimization
;
boundary-value problems
;
Dirichlet problems
;
Neumann problems
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract In the present paper, the lower semicontinuity of certain classes of functionals is studied when the domain of integration, which defines the functionals, is not fixed. For this purpose, a certain class of domains introduced by Chenais is employed. For this class of domains, a basic lemma is proved that plays an essential role in the derivations of the lower-semicontinuity theorems. These theorems are applied to the study of the existence of the optimal domain in domain optimization problems; a boundary-value problem of Neumann type or Dirichlet type is the main constraint in these optimization problems.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00940307
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