New Trends in Shape Optimization
This volume reflects “New Trends in Shape Optimization” and is based on a workshop of the same name organized at the Friedrich-Alexander University Erlangen-Nürnberg in September 2013. During the workshop senior mathematicians and young scientists alike p
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166 Aldo Pratelli Günter Leugering Editors
New Trends in Shape Optimization
ISNM International Series of Numerical Mathematics Volume 166 Managing Editor G. Leugering, Erlangen-Nürnberg, Germany Associate Editors Z. Chen, Beijing, China R.H.W. Hoppe, Augsburg, Germany; Houston, USA N. Kenmochi, Chiba, Japan V. Starovoitov, Novosibirsk, Russia Honorary Editor K.-H. Hoffmann, München, Germany
More information about this series at www.birkhauser-science.com/series/4819
Aldo Pratelli Günter Leugering •
Editors
New Trends in Shape Optimization
Editors Aldo Pratelli Department Mathematik Universität Erlangen‐Nürnberg Erlangen Germany
Günter Leugering Department Mathematik Universität Erlangen-Nürnberg Erlangen Germany
ISSN 0373-3149 ISSN 2296-6072 (electronic) International Series of Numerical Mathematics ISBN 978-3-319-17562-1 ISBN 978-3-319-17563-8 (eBook) DOI 10.1007/978-3-319-17563-8 Library of Congress Control Number: 2015950019 Mathematics Subject Classification (2010): 35B20, 35B40, 35J25, 35J40, 35J57, 35P15, 35R11, 35R35, 35Q61, 45C05, 47A75, 49J45, 49R05, 49R50, 49Q10, 49Q12, 49Q20, 53A10, 65D15, 65N30, 74K20, 76D07, 76Q20, 78A50, 81Q05, 82B10 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.birkhauser-science.com)
Contents
On the Minimization of Area Among Chord-Convex Sets . . . . . . . . . . . Beatrice Acciaio and Aldo Pratelli Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Michiel van den Berg, Giuseppe Buttazzo and Bozhidar Velichkov On a Classical Spectral Optimization Problem in Linear Elasticity . . . . Davide Buoso and Pier Domenico Lamberti Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functi
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