60 citations · 135 across the 16 of their papers we have counts for
9 papers · 1 filter
Sensitivity analysis of a Signorini-type history-dependent variational inequality
Livia Betz, Andaluzia Matei, Mircea Sofonea
We consider a history-dependent variational inequality (P) which models the frictionless contact between a viscoelastic body and a rigid obstacle covered by a layer of soft materia…
A Convergence Criterion for Elliptic Variational Inequalities
Claudia Gariboldi, Anna Ochal, Mircea Sofonea +1
We consider an elliptic variational inequality with unilateral constraints in a Hilbert space which, under appropriate assumptions on the data, has a unique solution . We fo…
Duality Arguments in the Analysis of a Viscoelastic Contact Problem
Piotr Bartman, Anna Ochal, Mircea Sofonea
We consider a mathematical model which describes the quasistatic frictionless contact of a viscoelastic body with a rigid-plastic foundation. We describe the mechanical assumptions…
Tykhonov Well-posedness of a Heat Transfer Problem with Unilateral Constraints
Mircea Sofonea, Domingo A. Tarzia
We consider an elliptic boundary value problem with unilateral constraints and subdifferential boundary conditions. The problem describes the heat transfer in a domain $D\subset\R^…
Optimal control of differential quasivariational inequalities with applications in contact mechanics
Mircea Sofonea, Julieta Bollati, Domingo A. Tarzia
We consider a differential quasivariational inequality for which we state and prove the continuous dependence of the solution with respect to the data. This convergence result allo…
On the Tykhonov Well-posedness of an Antiplane Shear Problem
Mircea Sofonea, Domingo A. Tarzia
We consider a boundary value problem which describes the frictional antiplane shear of an elastic body. The process is static and friction is modeled with a slip-dependent version…