# 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

top- J. Cea, Optimisation, théorie et algorithmes, Dunod Paris, 1971. (1971) Zbl0211.17402MR0298892
- 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) Zbl0189.40603MR0259693
- 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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