Fully Nonlinear PDEs in Real and Complex Geometry and Optics Cetraro
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Con
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ca Capogna Pengfei Guan Cristian E. Gutiérrez Annamaria Montanari
Fully Nonlinear PDEs in Real and Complex Geometry and Optics Cetraro, Italy 2012
Editors: Cristian E. Gutiérrez Ermanno Lanconelli
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan B. Teissier, Paris
For further volumes: http://www.springer.com/series/304
2087
Fondazione C.I.M.E., Firenze C.I.M.E. stands for Centro Internazionale Matematico Estivo, that is, International Mathematical Summer Centre. Conceived in the early fifties, it was born in 1954 in Florence, Italy, and welcomed by the world mathematical community: it continues successfully, year for year, to this day. Many mathematicians from all over the world have been involved in a way or another in C.I.M.E.’s activities over the years. The main purpose and mode of functioning of the Centre may be summarised as follows: every year, during the summer, sessions on different themes from pure and applied mathematics are offered by application to mathematicians from all countries. A Session is generally based on three or four main courses given by specialists of international renown, plus a certain number of seminars, and is held in an attractive rural location in Italy. The aim of a C.I.M.E. session is to bring to the attention of younger researchers the origins, development, and perspectives of some very active branch of mathematical research. The topics of the courses are generally of international resonance. The full immersion atmosphere of the courses and the daily exchange among participants are thus an initiation to international collaboration in mathematical research. C.I.M.E. Director Pietro ZECCA Dipartimento di Energetica “S. Stecco” Universit`a di Firenze Via S. Marta, 3 50139 Florence Italy e-mail: [email protected]
C.I.M.E. Secretary Elvira MASCOLO Dipartimento di Matematica “U. Dini” Universit`a di Firenze viale G.B. Morgagni 67/A 50134 Florence Italy e-mail: [email protected]
For more information see CIME’s homepage: http://www.cime.unifi.it CIME activity is carried out with the collaboration and financial support of: - INdAM (Istituto Nazionale di Alta Matematica) - MIUR (Ministero dell’Istruzione, dell’Universit`a e della Ricerca) - Ente Cassa di Risparmio di Firenze
Luca Capogna Pengfei Guan Cristian E. Guti´errez Annamaria Montanari
Fully Nonlinear PDEs in Real and Complex Geometry and Optics Cetraro, Italy 2012 Editors: Cristian E. Guti´errez Ermanno Lanconelli
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Luca Capogna Department of Mathematical Sciences Worcester Polytechnic Institute Worcester, MA, USA
Pengfei Guan Mathematics and Statistics McGill University Montreal, QC, Canada
Cristian E. Guti´errez Department of Mathematics Temple University Philadelphia, PA, USA
Annamaria Montanari Dipto. Matematica Universit`a di Bologna Bologna, Italy
ISBN 978-3-319-00941-4 ISBN 978-3-319-00942-1 (eBook) DOI 10.1007/978-3-319-00942-1 Springer Cham Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress
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