Nonlinear Elliptic Partial Differential Equations

An Introduction

By: Herve Le Dret

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Paperback | 5 June 2018

At a Glance

Paperback
264 Pages

Dimensions(cm)
15.8 x 23.6 x 1.5

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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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