In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.
Mazzoleni, D. C. S., Recent Existence Results for Spectral Problems, in Aldo Pratelli, G. L. (ed.), NEW TRENDS IN SHAPE OPTIMIZATION, Birkhäuser Verlag, Basel 2015: 199- 215. 10.1007/978-3-319-17563-8_8 [http://hdl.handle.net/10807/118953]
Recent Existence Results for Spectral Problems
Mazzoleni, Dario Cesare Severo
2015
Abstract
In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.
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