Existence of a solution of the problem of nonlinear elasticity with non-classical boundary conditions, when the relationship between the corresponding dual quantities is given in terms of a nonmonotone and generally multivalued relation. The mathematical formulation leads to a problem of non-smooth and nonconvex optimization, and in its weak form to hemivariational inequalities and to the determination of the so called substationary points of the given potential.
@article{104307,
author = {Panagiotis D. Panagiotopoulos},
title = {Variational-hemivariational inequalities in nonlinear elasticity. The coercive case},
journal = {Applications of Mathematics},
volume = {33},
year = {1988},
pages = {249-268},
zbl = {0665.73020},
mrnumber = {0949247},
language = {en},
url = {http://dml.mathdoc.fr/item/104307}
}
Panagiotopoulos, Panagiotis D. Variational-hemivariational inequalities in nonlinear elasticity. The coercive case. Applications of Mathematics, Tome 33 (1988) pp. 249-268. http://gdmltest.u-ga.fr/item/104307/
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