**Translations of Mathematical Monographs** 1998; 246 pp; softcover Volume: 174 Reprint/Revision History: reprinted 2004 ISBN-10: 0-8218-1924-0 ISBN-13: 978-0-8218-1924-1 List Price: US$88 Member Price: US$70.40 Order Code: MMONO/174.S
| There are two parts to the book. In the first part, a complete introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order elliptic partial differential equations is presented. In the second part, the existence and regularity theories of the Dirichlet problem for linear and nonlinear second order elliptic partial differential systems are introduced. The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists. Readership Students, research mathematicians, physicists and engineers interested in partial differential equation theories. Reviews "This book is an introduction to the modern theory of elliptic equations and systems. As such, it must compete with the well-known books by Ladyzhenskaya and Ural'tseva, Gilbarg and Trudinger, Krylov, and Giaquinta. To the authors' credit, they compete extremely well. More significantly, they improve on these books in their goal of providing a book that is accessible to graduate students learning this material for the first time. The style of writing is very clear and they point out the main ideas of a method. For a mathematician working in this area, this book is a welcome addition to the current literature." *-- Mathematical Reviews* |