Year: 1997
Type: article
Abstract: We consider shape optimization problems of the form \min\{\int_{\partial A} f(x,\nu(x))\,\mathrm{d}\mathcal{H}^{n-1} : A \in \mathcal{A}\} min { ∫ ∂ A f ( x , ν ( x ) ) d H n − 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.
Source: Journal of convex analysis
DOI: 10.68381/jca04019
Authors: Giuseppe Buttazzo, Paolo Guasoni
Institutions: University of Pisa, Scuola Normale Superiore
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W147689840