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Nonlinear elliptic partial differential equations = an introduction /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear elliptic partial differential equations/ by 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

Nonlinear elliptic partial differential equations = an 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

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

563985
Differential equations, Elliptic.

LC Class. No.: QA377 / .L437 2018

Dewey Class. No.: 515.3533

Nonlinear elliptic partial differential equations = an introduction /
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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.
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650 0 $a Differential equations, Nonlinear. $3 528440
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650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
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