國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Nonlinear elliptic partial different...

Le Dret, Herve.

Nonlinear elliptic partial differential equationsan introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Nonlinear elliptic partial differential equationsby Herve Le Dret.
其他題名:	an introduction /
作者:	Le Dret, Herve.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	x, 253 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations, Elliptic.
電子資源:	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 /
LDR:02182nmm a2200337 a 4500 001 538972
003 DE-He213
005 20181129153940.0
006 m d
007 cr nn 008maaau
008 190122s2018 gw s 0 eng d
020 $a 9783319783901$q(electronic bk.)
020 $a 9783319783895$q(paper)
024 7 $a 10.1007/978-3-319-78390-1 $2 doi
035 $a 978-3-319-78390-1
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QA377 $b .L437 2018
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.3533 $2 23
090 $a QA377 $b .L475 2018
100 1 $a Le Dret, Herve. $3 741023
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
830 0 $a Universitext. $3 558272
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-78390-1
950 $a Mathematics and Statistics (Springer-11649)