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
Mots-clés : obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions
Mots-clés : obstacle and unilateral problem; biharmonic operator; dual variational inequality; polar functions
@article{10_21136_AM_1981_103918, author = {Lov{\'\i}\v{s}ek, J\'an}, title = {Duality in the obstacle and unilateral problem for the biharmonic operator}, journal = {Applications of Mathematics}, pages = {291--303}, publisher = {mathdoc}, volume = {26}, number = {4}, year = {1981}, doi = {10.21136/AM.1981.103918}, mrnumber = {0623507}, zbl = {0468.49005}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103918/} }
TY - JOUR AU - Lovíšek, Ján TI - Duality in the obstacle and unilateral problem for the biharmonic operator JO - Applications of Mathematics PY - 1981 SP - 291 EP - 303 VL - 26 IS - 4 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103918/ DO - 10.21136/AM.1981.103918 LA - en ID - 10_21136_AM_1981_103918 ER -
%0 Journal Article %A Lovíšek, Ján %T Duality in the obstacle and unilateral problem for the biharmonic operator %J Applications of Mathematics %D 1981 %P 291-303 %V 26 %N 4 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103918/ %R 10.21136/AM.1981.103918 %G en %F 10_21136_AM_1981_103918
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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1981.103918/
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