Some new problems in spectral optimization

• Autorzy: Giuseppe Buttazzo , Bozhidar Velichkov
• Języki publikacji: EN

Abstrakty

EN

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 metric Laplacian, and we consider in particular Riemannian or Finsler manifolds, Carnot-Carathéodory 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 Schrödinger potential in suitable classes.

Kategorie tematyczne

• 49J45: Methods involving semicontinuity and convergence; relaxation
• 35P15: Estimation of eigenvalues, upper and lower bounds
• 35J25: Boundary value problems for second-order elliptic equations
• 47A75: Eigenvalue problems
• 49R05: Variational methods for eigenvalues of operators (should also be assigned at least one other classification number in Section 49)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 101
• Numer: 1
• Strony: 19-35

Daty

wydano

2014

Twórcy

autor

Giuseppe Buttazzo

• Dipartimento di Matematica, Università di Pisa, Largo B. Pontecorvo 5, 56127 Pisa, Italy

autor

Bozhidar Velichkov

• Scuola Normale Superiore di Pisa, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Identyfikatory

DOI

10.4064/bc101-0-2