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.
1997
Guasoni P, Buttazzo G (1997). Shape Optimization Problems over Classes of Convex Domains. JOURNAL OF CONVEX ANALYSIS, 4(2), 343-351.
Guasoni P; Buttazzo G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/855624
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