Abstract
This paper deals with the study of a nonlinear problem of frictional contact between an elastic body and a rigid foundation. The elastic constitutive law is assumed to be nonlinear and the contact is modelled with Signorini's conditions and a version of Coulomb's law of dry friction. We present two weak formulations of the problem and establish existence and uniqueness results, using arguments of elliptic variational inequalities and a fixed-pint property. Moreover, we prove some equivalence results and study the behaviour of the solution when the coefficient of friction tends to zero.
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