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.

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Introduces several mathematical techniques relevant to solving boundary value problems involving nonlinear elliptic PDEs Provides the essentials of test-function and distribution spaces Includes 44 exercises and problems
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Product details

ISBN
9783319783895
Published
2018-06-05
Publisher
Springer International Publishing AG
Height
235 mm
Width
155 mm
Age
Graduate, P, 06
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
10