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Nonlinear Elliptic Partial Differential Equations An Introduction
Author
Title
Nonlinear Elliptic Partial Differential Equations [electronic resource] : An Introduction / by Hervé Le Dret.
ISBN
9783319783901
Publication
Cham : Springer International Publishing : Imprint: Springer, 2018.
Physical Description
1 online resource (X, 253 p.) 71 illus., 23 illus. in color.
Local Notes
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Access restricted by licensing agreement.
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.
Variant and related titles
Springer ebooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
May 31, 2018
Series
Universitext,
Contents
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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