Geodesic
Duality in the obstacle and unilateral problem for the biharmonic operator
Applications of Mathematics, Tome 26 (1981) no. 4, pp. 291-303

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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.
DOI : 10.21136/AM.1981.103918
Classification : 31A30, 35J35, 35J85, 49A29, 49J40, 73K10, 74K20
Keywords: obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions 
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     author = {Lov{\'\i}\v{s}ek, J\'an},
     title = {Duality in the obstacle and unilateral problem for the biharmonic operator},
     journal = {Applications of Mathematics},
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     publisher = {mathdoc},
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Lovíšek, Ján. Duality in the obstacle and unilateral problem for the biharmonic operator. Applications of Mathematics, Tome 26 (1981) no. 4, pp. 291-303. doi: 10.21136/AM.1981.103918

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