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Nonlinear Elliptic Partial Differential Equations = An Introduction /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Nonlinear Elliptic Partial Differential Equations/ by Hervé Le Dret.
Reminder of title:	An Introduction /
Author:	Le Dret, Hervé.
Description:	X, 253 p. 71 illus., 23 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Partial differential equations. -
Online resource:	https://doi.org/10.1007/978-3-319-78390-1
ISBN:	9783319783901

Nonlinear Elliptic Partial Differential Equations = An Introduction /
Le Dret, Hervé.

Nonlinear Elliptic Partial Differential EquationsAn Introduction /[electronic resource] :by Hervé Le Dret. - 1st ed. 2018. - X, 253 p. 71 illus., 23 illus. in color.online resource. - Universitext,0172-5939. - Universitext,.

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.

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.

ISBN: 9783319783901

Standard No.: 10.1007/978-3-319-78390-1doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Nonlinear Elliptic Partial Differential Equations = An Introduction /
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