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Extremum problems for eigenvalues of elliptic operators

Author: Antoine Henrot
Publisher: Basel ; Boston ; Berlin : Birkhaüser, 2006.
Series: Frontiers in mathematics (Print)
Edition/Format:   Print book : EnglishView all editions and formats
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For instance, it seeks a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. The text probes similar  Read more...

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Document Type: Book
All Authors / Contributors: Antoine Henrot
ISBN: 3764377054 9783764377052
OCLC Number: 493955370
Description: 1 v. (X-202 p.) : ill. ; 24 cm.
Contents: Eigenvalues of elliptic operators.- Tools.- The first eigenvalue of the Laplacian-Dirichlet.- The second eigenvalue of the Laplacian-Dirichlet.- The other Dirichlet eigenvalues.- Functions of Dirichlet eigenvalues.- Other boundary conditions for the Laplacian.- Eigenvalues of Schroedinger operators.- Non-homogeneous strings and membranes.- Optimal conductivity.- The bi-Laplacian operator.
Series Title: Frontiers in mathematics (Print)
Responsibility: Antoine Henrot.

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From the reviews:"The book is a good collection of extremal problems for eigenvalues of elliptic operators and it gives a good account of the present state of research. It presents 30 open problems Read more...

 
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