Overview
Presents a wealth of applications for techniques demonstrated within the text
Chapters are written in gradually increasing difficulty making it ideal for self-study
For each method of proof a prototype semilinear equation is chosen to illustrate how the method works
Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (4 chapters)
Keywords
About this book
Reviews
From the reviews:
“An excellent text suitable for a graduate student or a very well-prepared undergraduate. It can easily support either a regular class or an independent study format. … The authors have done a good job of avoiding esoteric technicalities, so … that a good student could learn the notions above while studying this text. The first chapter outlines much of this material and provides references for those who need further study. … the text is on variational methods applied to semilinear elliptic boundary value problems.” (Stephen B. Robinson, Mathematical Reviews, Issue 2012 f)
“This book is a valuable reference book for specialists in the field and an excellent graduate text giving an overview of the literature on solutions of semilinear elliptic equations. … the book should be strongly recommended to anyone, either graduate student or researcher, who is interested in variational methods and their applications to partial differential equations of elliptic type .” (Vicenţiu D. Rădulescu, Zentralblatt MATH, Vol. 1214, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Semilinear Elliptic Equations for Beginners
Book Subtitle: Existence Results via the Variational Approach
Authors: Marino Badiale, Enrico Serra
Series Title: Universitext
DOI: https://doi.org/10.1007/978-0-85729-227-8
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Limited 2011
Softcover ISBN: 978-0-85729-226-1Published: 18 December 2010
eBook ISBN: 978-0-85729-227-8Published: 07 December 2010
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: X, 199
Topics: Analysis, Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization