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Some New Problems in Spectral Optimization

Buttazzo, Giuseppe and Velichkov, Bozhidar (2013) Some New Problems in Spectral Optimization. arXiv .

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SUMMARY We present some new problems in spectral optimization. The first one consists in determining the best domain for the Dirichlet energy (or for the first eigenvalue) of the {\it metric Laplacian}, and we consider in particular Riemannian or Finsler manifolds, Carnot-Carath\'eodory spaces, Gaussian spaces. The second one deals with the optimal shape of a graph when the minimization cost is of spectral type. The third one is the optimization problem for a Schr\"odinger potential in suitable classes.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area01 - Scienze matematiche e informatiche > MAT/05 - Analisi matematica
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 05 Aug 2013 12:48
Last Modified: 05 Aug 2013 12:48
URI: http://eprints.adm.unipi.it/id/eprint/1333

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