Duality in the obstacle and unilateral problem for the biharmonic operator
Aplikace matematiky (1981)
- Volume: 26, Issue: 4, page 291-303
- ISSN: 0862-7940
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topLovíšek, Ján. "Duality in the obstacle and unilateral problem for the biharmonic operator." Aplikace matematiky 26.4 (1981): 291-303. <http://eudml.org/doc/15201>.
@article{Lovíšek1981,
abstract = {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.},
author = {Lovíšek, Ján},
journal = {Aplikace matematiky},
keywords = {obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions; obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions},
language = {eng},
number = {4},
pages = {291-303},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Duality in the obstacle and unilateral problem for the biharmonic operator},
url = {http://eudml.org/doc/15201},
volume = {26},
year = {1981},
}
TY - JOUR
AU - Lovíšek, Ján
TI - Duality in the obstacle and unilateral problem for the biharmonic operator
JO - Aplikace matematiky
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 26
IS - 4
SP - 291
EP - 303
AB - 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.
LA - eng
KW - obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions; obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions
UR - http://eudml.org/doc/15201
ER -
References
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- R. Glowinski J. L. Lions, Trémolièrs, Analyse numérique des inéquations variationnelles, Tome 1, 2, Dunod Paris, 1976. (1976) MR0655454
- I. Ekeland R. Temam, Analyse convexe et problèmes variationnels, Dunod Paris, 1974. (1974) MR0463993
- J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéairs, Dunod Paris, 1969. (1969) MR0259693
- V. Mosco, 10.1016/0022-247X(72)90043-1, Jour. of Math., Anal. and Appl. 40, 202-206 (1972). (1972) Zbl0262.49003MR0313913DOI10.1016/0022-247X(72)90043-1
- J. Nečas, Les méthodes directes en théorie des équations elliptiques, Academia Prague, 1967. (1967) MR0227584
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