Geodesic
Variational-hemivariational inequalities in nonlinear elasticity. The coercive case
Applications of Mathematics, Tome 33 (1988) no. 4, pp. 249-268
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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.
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.
DOI : 10.21136/AM.1988.104307
Classification : 35A15, 35J85, 49A29, 49A99, 49J40, 49J99, 73C50, 74B20, 74S30
Keywords: non-smooth optimization; nonconvex optimization; substationary points of potential; small strains; uniaxial contact problem; nonmonotone reaction-displacement diagram; frictional effects; nonmonotone shearing; multivalued functions; variational-hemivariational inequalities; nonlinear elasticity 
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Panagiotopoulos, Panagiotis D. Variational-hemivariational inequalities in nonlinear elasticity. The coercive case. Applications of Mathematics, Tome 33 (1988) no. 4, pp. 249-268. doi: 10.21136/AM.1988.104307

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