文档介绍：TLFeBOOK
Published by
Imperial College Press
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UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Originally published in French under the title: ‹‹Introduction au calcul des variations››
© 1992 Presses polytechniques et universitaires romandes, Lausanne, Switzerland
All rights reserved
INTRODUCTION TO THE CALCULUS OF VARIATIONS
Copyright © 2004 by Imperial College Press
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
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For photocopying of material in this volume, please pay a copying fee through the Copyright
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ISBN 1-86094-499-X
ISBN 1-86094-508-2 (pbk)
Printed in Singapore.
Introduction to the calculus of variations
Bernard Dacorogna
Contents
Preface to the English Edition ix
Preface to the French Edition xi
0 Introduction 1
...................... 1
................. 3
........... 7
1 Preliminaries 11
.............................. 11
öldercontinuousfunctions............ 12
Exercises........................... 16
Lp spaces............................... 16
Exercises........................... 23
............................ 25
Exercises........................... 38