Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590366 | Journal of Functional Analysis | 2013 | 33 Pages |
Abstract
We consider shape optimization problems of the formmin{J(Ω):ΩâX,m(Ω)⩽c}, where X is a metric measure space and J is a suitable shape functional. We adapt the notions of γ-convergence and weak-γ convergence to this new general abstract setting to prove the existence of an optimal domain. Several examples are pointed out and discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Giuseppe Buttazzo, Bozhidar Velichkov,