語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Multi-valued variational inequalitie...
~
Carl, Siegfried.
FindBook
Google Book
Amazon
博客來
Multi-valued variational inequalities and inclusions
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Multi-valued variational inequalities and inclusions/ by Siegfried Carl, Vy Khoi Le.
作者:
Carl, Siegfried.
其他作者:
Le, Vy Khoi.
出版者:
Cham :Springer International Publishing : : 2021.,
面頁冊數:
xvii, 584 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Variational inequalities (Mathematics) -
電子資源:
https://doi.org/10.1007/978-3-030-65165-7
ISBN:
9783030651657
Multi-valued variational inequalities and inclusions
Carl, Siegfried.
Multi-valued variational inequalities and inclusions
[electronic resource] /by Siegfried Carl, Vy Khoi Le. - Cham :Springer International Publishing :2021. - xvii, 584 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..
This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
ISBN: 9783030651657
Standard No.: 10.1007/978-3-030-65165-7doiSubjects--Topical Terms:
712918
Variational inequalities (Mathematics)
LC Class. No.: QA316
Dewey Class. No.: 515.64
Multi-valued variational inequalities and inclusions
LDR
:02715nmm a2200325 a 4500
001
2238460
003
DE-He213
005
20210616143605.0
006
m d
007
cr nn 008maaau
008
211111s2021 sz s 0 eng d
020
$a
9783030651657
$q
(electronic bk.)
020
$a
9783030651640
$q
(paper)
024
7
$a
10.1007/978-3-030-65165-7
$2
doi
035
$a
978-3-030-65165-7
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA316
072
7
$a
PBK
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBK
$2
thema
082
0 4
$a
515.64
$2
23
090
$a
QA316
$b
.C278 2021
100
1
$a
Carl, Siegfried.
$3
3491640
245
1 0
$a
Multi-valued variational inequalities and inclusions
$h
[electronic resource] /
$c
by Siegfried Carl, Vy Khoi Le.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
xvii, 584 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Springer monographs in mathematics,
$x
1439-7382
520
$a
This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals. Its main goal is to provide a systematic, unified, and relatively self-contained exposition of existence, comparison and enclosure principles, together with other qualitative properties of multi-valued variational inequalities and inclusions. The problems under consideration are studied in different function spaces such as Sobolev spaces, Orlicz-Sobolev spaces, Sobolev spaces with variable exponents, and Beppo-Levi spaces. A general and comprehensive sub-supersolution method (lattice method) is developed for both stationary and evolutionary multi-valued variational inequalities, which preserves the characteristic features of the commonly known sub-supersolution method for single-valued, quasilinear elliptic and parabolic problems. This method provides a powerful tool for studying existence and enclosure properties of solutions when the coercivity of the problems under consideration fails. It can also be used to investigate qualitative properties such as the multiplicity and location of solutions or the existence of extremal solutions. This is the first in-depth treatise on the sub-supersolution (lattice) method for multi-valued variational inequalities without any variational structures, together with related topics. The choice of the included materials and their organization in the book also makes it useful and accessible to a large audience consisting of graduate students and researchers in various areas of Mathematical Analysis and Theoretical Physics.
650
0
$a
Variational inequalities (Mathematics)
$3
712918
650
1 4
$a
Analysis.
$3
891106
650
2 4
$a
Operator Theory.
$3
897311
650
2 4
$a
Optimization.
$3
891104
650
2 4
$a
Applications of Mathematics.
$3
890893
700
1
$a
Le, Vy Khoi.
$3
812033
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
830
0
$a
Springer monographs in mathematics.
$3
1535313
856
4 0
$u
https://doi.org/10.1007/978-3-030-65165-7
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9400345
電子資源
11.線上閱覽_V
電子書
EB QA316
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入