Elliptic Partial Differential Equations of Second Order

From the reviews: "This is a book of interest to any having to work with differential equations, either as a reference or as a book to learn from. The authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a

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Elliptic Partial Differential Equations of Second Order


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David Gilbarg was born in New York in 1918, and was educated there through undergraduate school. He received his Ph.D. degree at Indiana University in 1941. His work in fluid dynamics during the war years motivated much of his later research on flows with free boundaries. He was on the Mathematics Faculty at Indiana University from 1946 to 1957 and at Stanford University from 1957 on. His principal interests and contributions have been in mathematical fluid dynamics and the theory of elliptic partial differential equations.

Neil S. Trudinger was born in Ballarat, Australia in 1942. After schooling and undergraduate education in Australia, he completed his Ph.D. at Stanford University, USA in 1966. He has been a Professor of Mathematics at the Australian National University, Canberra since 1973. His research contributions, while largely focused on non-linear elliptic partial differentipl equations, have also spread into geometry, functional analysis and computational mathematics. Among honours received are Fellowships of the Australian Academy of Science and of the Royal Society of London.

David Gilbarg • Neil S. Trudinger

Elliptic Partial Differential Equations of Second Order Reprint of the 1998 Edition


David Gilbarg

Neil S. Trudinger

Stanford University Department of Mathematics Stanford. CA 94305-2125 USA e-mail: [email protected]

The Australian National University School of Mathematical Sciences Canberra ACT 0200 Australia e-mail: [email protected]

Originally published as Vol. 224 of the

Grundlehren der mathematischen Wissenschaften

Cataloging-in-Publication Data applied for Die Deutsche Bibliothek· CIP-Einbeitsaufnahme Gilbarg. David: Elliptic partial differential equations of second order I David Gilbarg; Neil S. Trudinger. -Reprint of the 1998 ed. - Berlin; Heidelberg; New York; Barcelona; Hong Kong; London; Milan; Paris; Singapore; 1bkyo: Springer.lOO1 (Classics in mathematics)

Mathematics Subject Classification (2000): 3SJxx

ISSN 1431-0821 ISBN-I3: 978-3-540-41160-4 e-ISBN-13: 978-3-642-61798-0 001: 10.1007/978-3-642-61798-0 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specificaUy the rights of translation, reprinting. reuse of illustrations. recitation, broadcasting. reproduction on microfilm or in any other way. and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9. 1965. in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag Berlin Heidelberg New York a member of Springer Science+Business Media C Springer· Verlag Berlin Heidelberg 2001

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