We consider shape optimization problems of the form min I {∫∂A f(x, ν(x)) dHn-1 : A ∈ A} where f is any continuous function and the class A of admissible domains is made of convex sets. We prove the existence of an optimal solution provided the domains satisfy some suitable constraints.
Guasoni P, Buttazzo G (1997). Shape Optimization Problems over Classes of Convex Domains. JOURNAL OF CONVEX ANALYSIS, 4(2), 343-351.
Shape Optimization Problems over Classes of Convex Domains
Guasoni P
Co-primo
;
1997
Abstract
We consider shape optimization problems of the form min I {∫∂A f(x, ν(x)) dHn-1 : A ∈ A} where f is any continuous function and the class A of admissible domains is made of convex sets. We prove the existence of an optimal solution provided the domains satisfy some suitable constraints.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.