Modern methods in the calculus of variations : Lp spaces /
This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in Lp spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be un...
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| Other Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer,
[2007], ©2007
New York : c2007 New York ; London : 2007 New York ; London : c2007 New York : [2007] |
| Series: | Springer monographs in mathematics
Springer monographs in mathematics |
| Subjects: |
| Summary: | This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in Lp spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore, it may be used both as a graduate textbook as well as a reference text for researchers in the field. & "This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L[superscript p] spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces."--BOOK JACKET "This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L[superscript p] spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces."--Jacket |
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| Item Description: | On t.p. Lp "p" is superscript This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |
| Physical Description: | xiv, 599 p. ; 24 cm xiv, 599 p. ; 25 cm xiv, 599 pages : illustrations ; 25 cm xiv, 599 pages ; 24 cm xiv, 599 pages ; 25 cm |
| Bibliography: | Includes bibliographical references (p. [587]-593) and index Includes bibliographical references (pages [587]-593) and index Includes bibliographical references and index |
| ISBN: | 038735784X (hbk.) 038735784X 0387690069 (ebk.) 9780387357843 (hbk.) 9780387357843 9780387690063 (ebk.) |