Four optimal design problems and a weight minimization problem are considered for elastic plates with small bending rigidity, resting on a unilateral elastic foundation, with inner rigid obstacles and a friction condition on a part of the boundary. The state problem is represented by a variational inequality and the design variables influence both the coefficients and the set of admissible state functions. If some input data are allowed to be uncertain a new method of reliable solutions is employed. We prove the existence of a solution to the above-mentioned problems on the basis of a general theorem on the control of variational inequalities.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am28-4-3,
author = {Ivan Hlav\'a\v cek and J\'an Lov\'\i \v sek},
title = {Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data},
journal = {Applicationes Mathematicae},
volume = {28},
year = {2001},
pages = {407-426},
zbl = {1042.49036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-4-3}
}
Ivan Hlaváček; Ján Lovíšek. Control in obstacle-pseudoplate problems with friction on the boundary. optimal design and problems with uncertain data. Applicationes Mathematicae, Tome 28 (2001) pp. 407-426. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am28-4-3/