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Nonlinear elliptic partial different...

Le Dret, Herve.

Nonlinear elliptic partial differential equationsan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear elliptic partial differential equationsby Herve Le Dret.
Reminder of title:	an introduction /
Author:	Le Dret, Herve.
Published:	Cham :Springer International Publishing :2018.
Description:	x, 253 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, Elliptic.
Online resource:	http://dx.doi.org/10.1007/978-3-319-78390-1
ISBN:	9783319783901$q(electronic bk.)

Nonlinear elliptic partial differential equationsan introduction /
Le Dret, Herve.

Nonlinear elliptic partial differential equationsan introduction /[electronic resource] :by Herve Le Dret. - Cham :Springer International Publishing :2018. - x, 253 p. :ill. (some col.), digital ;24 cm. - 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$q(electronic bk.)

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

205654
Differential equations, Elliptic.

LC Class. No.: QA377 / .L437 2018

Dewey Class. No.: 515.3533

Nonlinear elliptic partial differential equationsan introduction /
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240 1 0 $a Equations aux derivees partielles elliptiques non lineaires. $l English.
245 1 0 $a Nonlinear elliptic partial differential equations $h [electronic resource] : $b an introduction / $c by Herve Le Dret.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a x, 253 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Elliptic. $3 205654
650 0 $a Differential equations, Nonlinear. $3 185178
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-78390-1
950 $a Mathematics and Statistics (Springer-11649)