Minimization problems for eigenvalues of the Laplacian
Minimization problems for eigenvalues of the Laplacian
This paper is a survey on classical results and open questions about minimization problems concerning the lower eigenvalues of the Laplace operator. After recalling classical isoperimetric inequalities for the two first eigenvalues, we present recent advances on this topic. In particular, we study the minimization of the second eigenvalue among …