Nonlinear Elliptic Partial Differential Equations An Introduction
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 q...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | Universitext
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of 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