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Regularity for Non-Linear PDEs

On some problems in spectral optimization

speaker: Giuseppe Buttazzo (Dipartimento di Matematica, Università di Pisa)

abstract: We consider shape optimization problems of the form $$\min\Big\{F(\Omega)\ :\ \Omega\subset D\Big\}$$ where the cost functional $F(\Omega)$ is related to the spectrum of the Dirichlet-Laplacian on $\Omega$. Existence results, first order necessary conditions of optimality, and open questions will be discussed.

Thu 24 Sep, 9:30 - 10:30, Aula Dini
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