Nonlinear Elliptic Partial Differential Equations

An Introduction

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Nonlinear Elliptic Partial Differential Equations by Hervé Le Dret, Springer International Publishing
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Author: Hervé Le Dret ISBN: 9783319783901
Publisher: Springer International Publishing Publication: May 25, 2018
Imprint: Springer Language: English
Author: Hervé Le Dret
ISBN: 9783319783901
Publisher: Springer International Publishing
Publication: May 25, 2018
Imprint: Springer
Language: English

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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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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