60 citations · 132 across the 9 of their papers we have counts for
10 papers
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…
Convergence Results for Optimal Control Problems Governed by Elliptic Quasivariational Inequalities
Mircea Sofonea, Domingo A. Tarzia
We consider an optimal control problem $\cQ$ governed by an elliptic quasivariational inequality with unilateral constraints. The existence of optimal pairs of the problem is a wel…
Within-host bacterial growth dynamics with both mutation and horizontal gene transfer
Ramsès Djidjou-Demasse, Samuel Alizon, Mircea T. Sofonea
The evolution and emergence of antibiotic resistance is a major public health concern. The understanding of the within-host microbial dynamics combining mutational processes, horiz…
Tykhonov Well-posedness of Elliptic Variational-Hemivariational Inequalities
Mircea Sofonea, Yi-bin Xiao
We consider a class of elliptic variational-hemivaria\-tional inequalities in a abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.…
On the Optimal Control of Variational-Hemivariational Inequalities
Yi-bin Xiao, Mircea Sofonea
The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was ob…