Abstract
We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.
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Acknowledgments
A large part of this paper was written during a visit of the first two authors at the Isaac Newton Institute for Mathematical Sciences of Cambridge (UK). GB and MvdB gratefully acknowledge the Institute for the excellent working atmosphere provided. The authors also wish to thank Pedro Antunes helpful discussions. The work of GB is part of the project 2010A2TFX2 “Calcolo delle Variazioni” funded by the Italian Ministry of Research and University.
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van den Berg, M., Buttazzo, G., Velichkov, B. (2015). Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity. In: Pratelli, A., Leugering, G. (eds) New Trends in Shape Optimization. International Series of Numerical Mathematics, vol 166. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-17563-8_2
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DOI: https://doi.org/10.1007/978-3-319-17563-8_2
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