1. Eigenvalues of elliptic operators -- 2. Tools -- 3. The first eigenvalue of the Laplacian-Dirichlet -- 4. The second eigenvalue of the Laplacian-Dirichlet -- 5. The other Dirichlet eigenvalues -- 6. Functions of Dirichlet eigenvalues -- 7. Other boundary conditions for the Laplacian -- 8. Eigenvalues of Schrodinger operators -- 9. Non-homogeneous strings and membranes -- 10. Optimal conductivity -- 11. The bi-Laplacian operator
Summary
"Providing a self-contained presentation of classical isperimetric inequalities for eigenvalues and 30 open problems, this book will be useful for pure and applied mathematicians, particularly those interested in partial differential equations, the calculus of variations, differential geometry, or spectral theory."--Jacket
Bibliography
Includes bibliographical references (pages 187-199) and index
