Functional Analysis, Sobolev Spaces and Partial ...

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UniversitextFor other titles in this series, go CHaim BrezisFunctional analysis , Sobolev Spaces and Partial Differential EquationsHaim BrezisDistinguished ProfessorDepartment of MathematicsRutgers UniversityPiscataway, NJ m rite, Universit Pierre et Marie Curie (Paris 6) andVisiting Distinguished Professor at the TechnionEditorial board:Sheldon Axler, San Francisco State UniversityVincenzo Capasso, Universit degli Studi di MilanoCarles Casacuberta, Universitat de BarcelonaAngus MacIntyre, Queen Mary, University of LondonKenneth Ribet, University of California, BerkeleyClaude Sabbah, CNRS, cole PolytechniqueEndre S li, University of OxfordWojbor Woyczy ski, Case Western Reserve UniversityISBN 978-0-387-70913-0 e-ISBN 978-0-387-70914-7DOI New York Dordrecht Heidelberg LondonLibrary of Congress Control Number: 2010938382Mathematics Subject Classification (2010): 35Rxx, 46Sxx, 47Sxx Springer Science+Business Media, LLC 2011All rights reserved.

interest only to advanced readers. 3. In each chapter I have labeled propositions, theorems, and corollaries in a con-tinuous manner (e.g., Proposition 3.6 is followed by Theorem 3.7, Corollary 3.8, etc.). Only the remarks and the lemmas are numbered separately. 4. In order to simplify the presentation I assume that all vector spaces are over R.

  Analysis, Advanced, Functional, Space, Functional analysis, Sobolev, Sobolev spaces and