| Title:
|
Duality in the obstacle and unilateral problem for the biharmonic operator (English) |
| Author:
|
Lovíšek, Ján |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
291-303 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions. (English) |
| Keyword:
|
obstacle and unilateral problem |
| Keyword:
|
biharmonic operator |
| Keyword:
|
dual variational inequality |
| Keyword:
|
polar functions |
| MSC:
|
31A30 |
| MSC:
|
35J35 |
| MSC:
|
35J85 |
| MSC:
|
49A29 |
| MSC:
|
49J40 |
| MSC:
|
73K10 |
| MSC:
|
74K20 |
| idZBL:
|
Zbl 0468.49005 |
| idMR:
|
MR0623507 |
| DOI:
|
10.21136/AM.1981.103918 |
| . |
| Date available:
|
2008-05-20T18:17:14Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103918 |
| . |
| Reference:
|
[1] J. Cea: Optimisation, théorie et algorithmes.Dunod Paris, 1971. Zbl 0211.17402, MR 0298892 |
| Reference:
|
[2] R. Glowinski J. L. Lions, Trémolièrs: Analyse numérique des inéquations variationnelles.Tome 1, 2, Dunod Paris, 1976. MR 0655454 |
| Reference:
|
[3] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels.Dunod Paris, 1974. MR 0463993 |
| Reference:
|
[4] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéairs.Dunod Paris, 1969. MR 0259693 |
| Reference:
|
[5] V. Mosco: Dual variational inequalities.Jour. of Math., Anal. and Appl. 40, 202-206 (1972). Zbl 0262.49003, MR 0313913, 10.1016/0022-247X(72)90043-1 |
| Reference:
|
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia Prague, 1967. MR 0227584 |
| . |
