Call Boomerang Books 1300 36 33 32

Description - An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel

This book presents the basic theory of the symmetry of solutions to second-order elliptic partial differential equations by means of the maximum principle. It proceeds from elementary facts about the linear case to recent results about positive solutions of nonlinear elliptic equations. Gidas, Ni and Nirenberg, building on the work of Alexandrov and Serrin, have shown that the shape of the set on which such elliptic equations are solved has a strong effect on the form of positive solutions. In particular, if the equation and its boundary condition allow spherically symmetric solutions, then, remarkably, all positive solutions are spherically symmetric. These recent and important results are presented with minimal prerequisites, in a style suited to graduate students. Two long appendices give a leisurely account of basic facts about the Laplace and Poisson equations, and there is an abundance of exercises, with detailed hints, some of which contain new results.

Buy An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521461955
ISBN-10: 0521461952
Format: Hardback
(228mm x 152mm x 24mm)
Pages: 352
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 25-Feb-2000
Country of Publication: United Kingdom

Other Editions - An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel

Book Reviews - An Introduction to Maximum Principles and Symmetry in Elliptic Problems by L. E. Fraenkel

» Have you read this book? We'd like to know what you think about it - write a review about Introduction to Maximum Principles and Symmetry in Elliptic Problems book by L. E. Fraenkel and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review