
Elliptic Equations: An Introductory Course
Michel Chipot(Author)
Birkhäuser (Publisher)
2nd Edition
Published on 15. July 2024
Book
Hardback
XI, 397 pages
978-3-031-54121-6 (ISBN)
Description
The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form, it includes subjects as singular perturbations, homogenization, computations, asymptotic behavior of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes systems, p-Laplace type operators, large solutions, and mountain pass techniques. Just a minimum on Sobolev spaces has been introduced and work on integration on the boundary has been carefully avoided to keep the reader attention focused on the beauty and variety of these issues.
The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original, and have not been published elsewhere. The book will be of interest to graduate students and researchers specializing in partial differential equations.
More details
Series
Edition
Second Edition 2024
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
34 s/w Abbildungen
XI, 397 p. 34 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 28 mm
Weight
781 gr
ISBN-13
978-3-031-54121-6 (9783031541216)
DOI
10.1007/978-3-031-54123-0
Schweitzer Classification
Other editions
Additional editions

Michel Chipot
Elliptic Equations: An Introductory Course
E-Book
07/2024
2nd Edition
Birkhäuser
€96.29
Available for download
Previous edition

Michel Chipot
Elliptic Equations: An Introductory Course
Book
02/2009
1st Edition
Birkhäuser
€53.49
Article exhausted; check for reprint
Person
Michel Chipot
is Professor at the Institute of Mathematics, University of Zürich, Zürich, Switzerland.
Content
Part I Basic Techniques.-
Hilbert Space Techniques.- A Survey of Essential Analysis.- Weak Formulation of Elliptic Problems.- Elliptic Problems in Divergence Form.- Singular Perturbation Problems.- Problems in Large Cylinders.- Periodic Problems.- Homogenization.- Eigenvalues.- Numerical Computations.-
Part II More Advanced Theory.-
Nonlinear Problems.- L8-estimates.- Linear Elliptic Systems.- The Stationary Navier--Stokes System.- Some More Spaces.- Regularity Theory.-
p
-Laplace Type Equations.- The Strong Maximum Principle.- Problems in the Whole Space.- Large Solutions.- Mountain Pass Techniques.