Modern methods in the calculus of variations: Lp spaces
Irene Fonseca, Giovanni Leoni
"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. Preface.- Measure Theory and Lp Spaces.- Measures.- Lp spaces.- The Direct method and lower semicontinuity.- Convex analysis.- Functionals defined on Lp.- Integrands f = f (z).- Integrands f = f (x; z).- Integrands f = f (x; u; z).- Young measures.- A Appendix.- B Notes and open problems.- C Notation and List of symbols.- Index
Thể loại:
Năm:
2007
Nhà xuát bản:
Springer
Ngôn ngữ:
english
Trang:
602
ISBN 10:
0387690069
ISBN 13:
9780387690063
Loạt:
Springer monographs in mathematics
File:
PDF, 2.69 MB
IPFS:
,
english, 2007
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