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Nonlinear Elliptic Partial Differential Equations An Introduction by Hervé Le Dret
- Format:
- Book
- Author/Creator:
- Le Dret, H., Author.
- Series:
- Universitext 2191-6675
- Language:
- English
- Subjects (All):
- Differential equations.
- Mathematical optimization.
- Calculus of variations.
- Functional analysis.
- Differential Equations.
- Calculus of Variations and Optimization.
- Functional Analysis.
- Local Subjects:
- Differential Equations.
- Calculus of Variations and Optimization.
- Functional Analysis.
- Physical Description:
- X, 253 pages 71 illustrations, 23 illustrations in color. online resource
- Edition:
- 1st edition 2018
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Cham Springer International Publishing Imprint: Springer 2018
- System Details:
- text file PDF
- 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
- 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
- Other Format:
- Printed edition:
- ISBN:
- 9783319783901
- Access Restriction:
- Restricted for use by site license
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