Print version: Henrot, Antoine Shape Optimization and Spectral Theory Warschau/Berlin : Walter de Gruyter GmbH,c2017 ISBN 9783110550856
Intro -- Contents -- 1 Introduction -- 2 Existence results -- 3 Regularity of optimal spectral domains -- 4 The Robin problem -- 5 Spectral geometry of the Steklov problem -- 6 Triangles and Other Special Domains -- 7 Spectral inequalities in quantitative form -- 8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian -- 9 Spectral optimization problems for Schrodinger operators -- 10 Nodal and spectral minimal partitions - The state of the art in 2016 - -- 11 Numerical results for extremal problem for eigenvalues of the Laplacian -- Bibliography -- Index.