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Nonlinear elliptic partial differential equations : an introduction / Hervé Le Dret.

Le Dret, H., author.
2018
QA377
Available Online
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Title
Nonlinear elliptic partial differential equations : an introduction / Hervé Le Dret.
Author
Le Dret, H., author.
Uniform Title
Équations aux dérivées partielles elliptiques non linéaires. English
ISBN
9783319783901 (electronic book)
3319783904 (electronic book)
9783319783895
3319783890
DOI
https://doi.org/10.1007/978-3-319-78390-1
Published
Cham : Springer, 2018.
Language
English
Description
1 online resource (x, 253 pages) : illustrations.
Item Number
10.1007/978-3-319-78390-1 doi
Call Number
QA377
Dewey Decimal Classification
515/.3533
Summary
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 31, 2018).
Series
Universitext.
Available in Other Form
Print version: 9783319783895
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1 A brief review of real and functional analysis
2 Fixed point theorems and applications
3 Superposition operators
4 The Galerkin method
5 The maximum principle, elliptic regularity, and applications
6 Calculus of variations and quasilinear problems
7 Calculus of variations and critical points
8 Monotone operators and variational inequalities
References
Index.

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