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arXiv · 1304.4369

Some New Problems in Spectral Optimization

Giuseppe Buttazzo·Bozhidar Velichkov
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Abstract

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.

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Giuseppe Buttazzo, Bozhidar Velichkov. 2013-04-16. Some New Problems in Spectral Optimization. https://arxiv.org/abs/1304.4369

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