Shape optimization and spectral theory / / Antoine Henrot.

• VerfasserIn: Henrot, Antoine,
• MitwirkendeR: Girouard, Alexandre,; Henrot, Antoine,; Siudeja, Bartłomiej A.,; Helffer, Bernard,; Velichkov, Bozhidar,; Bucur, Dorin,; Oudet, Edouard,; Buttazzo, Giuseppe,; De Philippis, Guido,; Polterovich, Iosif,; Kennedy, James,; Lamboley, Jimmy,; Brasco, Lorenzo,; Ashbaugh, Mark S.,; Pierre, Michel,; Antunes, Pedro R. S.,; Freitas, Pedro,; Laugesen, Richard S.,; Bonnaillie-Noël, Virginie,
• Place / Publishing House: Warsaw ;, Berlin : : De Gruyter Open Poland, , [2017]; ©2017
• Year of Publication: 2017
• Language: English
• Physical Description: 1 online resource

"Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimization.It covers most of the issues which are important for people working in PDE and differential geometry interested in sharp inequal...

Table of Contents

• Frontmatter
• Contents
• 1 Introduction / Henrot, Antoine
• 2 Existence results / Bucur, Dorin
• 3 Regularity of optimal spectral domains / Lamboley, Jimmy / Pierre, Michel
• 4 The Robin problem / Bucur, Dorin / Freitas, Pedro / Kennedy, James
• 5 Spectral geometry of the Steklov problem / Girouard, Alexandre / Polterovich, Iosif
• 6 Triangles and Other Special Domains / Laugesen, Richard S. / Siudeja, Bartłomiej A.
• 7 Spectral inequalities in quantitative form / Brasco, Lorenzo / De Philippis, Guido
• 8 Universal Inequalities for the Eigenvalues of the Dirichlet Laplacian / Ashbaugh, Mark S.
• 9 Spectral optimization problems for Schrödinger operators / Buttazzo, Giuseppe / Velichkov, Bozhidar
• 10 Nodal and spectral minimal partitions - The state of the art in 2016 - / Bonnaillie-Noël, Virginie / Helffer, Bernard
• 11 Numerical results for extremal problem for eigenvalues of the Laplacian / Antunes, Pedro R. S. / Oudet, Edouard
• Bibliography
• Index