ISSN:
1573-2878
Keywords:
Lower semicontinuity
;
domain optimization
;
boundary-value problems
;
Dirichlet problems
;
Neumann problems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940307
