{"product_id":"extremum-problems-for-eigenvalues-of-antoine-henrot-9783764377052","title":"Extremum Problems for Eigenvalues of Elliptic Operators","description":"\u003cp\u003eProblems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. We also consider the case of functions of eigenvalues. We investigate similar questions for other elliptic operators, such as the Schringer operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues. \u003c\/p\u003e \u003cp\u003eProviding also a self-contained presentation of classical isoperimetric 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Antoine Henrot\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3764377054\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764377052\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/18\/2006\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 202\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.76lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.45d","brand":"Antoine Henrot","offers":[{"title":"Paperback","offer_id":44311403266303,"sku":"9783764377052","price":59.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9c5db65d-cb57-4d01-a9d3-163274f10baa.jpg?v=1695722615","url":"https:\/\/www.whiterainbookhouse.com\/products\/extremum-problems-for-eigenvalues-of-antoine-henrot-9783764377052","provider":"WR Book House","version":"1.0","type":"link"}