Contents

Kapitel in diesem Buch

1. Frontmatter I
2. Contents V
3. 1 Introduction 1
4. 2 Existence results 13
5. 3 Regularity of optimal spectral domains 29
6. 4 The Robin problem 78
7. 5 Spectral geometry of the Steklov problem 120
8. 6 Triangles and Other Special Domains 149
9. 7 Spectral inequalities in quantitative form 201
10. 8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian 282
11. 9 Spectral optimization problems for Schrödinger operators 325
12. 10 Nodal and spectral minimal partitions – The state of the art in 2016 – 353
13. 11 Numerical results for extremal problem for eigenvalues of the Laplacian 398
14. Bibliography 413
15. Index 462