Article
MSC:
31A30,
35J35,
35J85,
49A29,
49J40,
73K10,
74K20 | MR 0623507 | Zbl 0468.49005 | DOI: 10.21136/AM.1981.103918
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Keywords:
obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions
obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions
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.
References:
[1] J. Cea: Optimisation, théorie et algorithmes. Dunod Paris, 1971. MR 0298892 | Zbl 0211.17402
[2] R. Glowinski J. L. Lions, Trémolièrs: Analyse numérique des inéquations variationnelles. Tome 1, 2, Dunod Paris, 1976. MR 0655454
[3] I. Ekeland R. Temam: Analyse convexe et problèmes variationnels. Dunod Paris, 1974. MR 0463993
[4] J. L. Lions: Quelques méthodes de résolution des problèmes aux limites non linéairs. Dunod Paris, 1969. MR 0259693
[5] V. Mosco: Dual variational inequalities. Jour. of Math., Anal. and Appl. 40, 202-206 (1972). DOI 10.1016/0022-247X(72)90043-1 | MR 0313913 | Zbl 0262.49003
[6] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia Prague, 1967. MR 0227584
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