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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
“This is an excellent book, full of well-explained ideas and techniques on the subject, and can be used as a textbook in an advanced course dealing with higher-order elliptic problems. The proofs of almost all of the theorems directly related to the higher-order elliptic problems are complete and well written. In general, the book itself is written in a very clear, pleasurable style, including a wealth of useful diagrams and figures, some of them in color.” (Rodney Josué Biezuner, Mathematical Reviews, Issue 2011 h)
“The main tasks of the present Lecture Notes in Mathematics volume are nonlinear problems and positivity statements for higher order elliptic equations involving polyharmonic operators. In particular the biharmonic operator and semilinear operators related to it are investigated. … That the authors are experienced researchers on the topic of the volume becomes evident from the excellent, clear and well motivated presentation. … Whoever is interested in an exciting subject of the modern theory of higher order elliptic equations is recommended to study this exposition.” (Heinrich Begehr, Zentralblatt MATH, Vol. 1239, 2012)
Authors and Affiliations
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, Dipartimento di Matematica, Politecnico Milano, Milano, Italy
Filippo Gazzola
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, Institut f. Analysis und Numerik, Otto von Guericke-Universität, Magdeburg, Germany
Hans-Christoph Grunau
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, Mathematisches Institut, Universität zu Köln, Köln, Germany
Guido Sweers
Bibliographic Information
Book Title: Polyharmonic Boundary Value Problems
Book Subtitle: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains
Authors: Filippo Gazzola, Hans-Christoph Grunau, Guido Sweers
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-12245-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-12244-6Published: 03 June 2010
eBook ISBN: 978-3-642-12245-3Published: 26 May 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XVIII, 423
Number of Illustrations: 18 b/w illustrations
Topics: Mathematics, general, Functional Analysis, Differential Geometry, Solid Mechanics