ENGLISH

Modern Methods in the Calculus of Variations: L^p Spaces

By Irene Fonseca , Giovanni Leoni

Book information

Publisher
Springer
Year
2007
ISBN
038735784X, 9780387690063, 9780387357843
Language
english
Format
DJVU
Filesize
3 MB (3631276 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
601\601
Time added
2010-02-18 13:16:04

Description

This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^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. 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.

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