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S. / Oudet, Edouard -- $tBibliography -- $tIndex 330 $a"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 inequalities and qualitative behaviour for eigenvalues of the Laplacian with different kind of boundary conditions (Dirichlet, Robin and Steklov). This includes: existence of optimal shapes, their regularity, the case of special domains like triangles, isospectrality, quantitative form of the isoperimetric inequalities, optimal partitions, universal inequalities and numerical results.Much progress has been made in these extremum problems during the last ten years and this edited volume presents a valuable update to a wide community interested in these topics. List of contributorsAntunes Pedro R.S., Ashbaugh Mark, Bonnaillie-Noël Virginie, Brasco Lorenzo, Bucur Dorin, Buttazzo Giuseppe, De Philippis Guido, Freitas Pedro, Girouard Alexandre, Helffer Bernard, Kennedy James, Lamboley Jimmy, Laugesen Richard S., Oudet Edouard, Pierre Michel, Polterovich Iosif, Siudeja Bart?omiej A., Velichkov Bozhidar 606 $aMATHEMATICS / Optimization$2bisacsh 615 7$aMATHEMATICS / Optimization. 676 $a514.2400000000 700 $aHenrot$b Antoine, $0503208 702 $aGirouard$b Alexandre, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHenrot$b Antoine, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aSiudeja$b Bart?omiej A., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aHelffer$b Bernard, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aVelichkov$b Bozhidar, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aBucur$b Dorin, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aOudet$b Edouard, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aButtazzo$b Giuseppe, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aDe Philippis$b Guido, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aPolterovich$b Iosif, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aKennedy$b James, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aLamboley$b Jimmy, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aBrasco$b Lorenzo, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aAshbaugh$b Mark S., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aPierre$b Michel, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aAntunes$b Pedro R. S., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aFreitas$b Pedro, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aLaugesen$b Richard S., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 702 $aBonnaillie-Noël$b Virginie, $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910220024203321 996 $aShape optimization and spectral theory$92180578 997 $aUNINA