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020 _a9783764377069
_99783764377069
024 7 _a10.1007/3764377062
_2doi
035 _avtls000362817
039 9 _a201509030428
_bVLOAD
_c201404121606
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040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA329-329.9
100 1 _aHenrot, Antoine.
_eautor
_9331722
245 1 0 _aExtremum Problems for Eigenvalues of Elliptic Operators /
_cby Antoine Henrot.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2006.
300 _ax, 202 páginas 16 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aFrontiers in Mathematics,
_x1660-8046
500 _aSpringer eBooks
505 0 _aEigenvalues 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 Schrödinger operators -- Non-homogeneous strings and membranes -- Optimal conductivity -- The bi-Laplacian operator.
520 _aProblems 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 Schrödinger operator, non homogeneous membranes, or the bi-Laplacian, and we look at optimal composites and optimal insulation problems in terms of eigenvalues. Providing 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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783764377052
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/3-7643-7706-2
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c309656
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