16 citations · 21 across the 16 of their papers we have counts for
17 papers
A new penalty method for elliptic quasivariational inequalities
Piotr Bartman-Szwarc, Anna Ochal, Mircea Sofonea +1
We consider a class of elliptic quasivariational inequalities in a reflexive Banach space for which we recall a convergence criterion obtained in [10]. Each inequality …
A class of elliptic mixed boundary value problems with -Laplacian: existence, comparison and optimal control
Shengda Zeng, Stanislaw Migorski, Domingo A. Tarzia +2
The paper deals with two nonlinear elliptic equations with -Laplacian and the Dirichlet-Neumann-Dirichlet (DND) boundary conditions, and Dirich\-let-Neu\-mann-Neumann (DNN)…
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…
Modelling, Analysis and Numerical Simulation of a Spring-Rods System with Unilateral Constraints
Anna Ochal, Wiktor Prządka, Mircea Sofonea +1
In this paper we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the mode…
Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates
Carolina M. Bollo, Claudia M. Gariboldi, Domingo A. Tarzia
In this paper, we consider a family of simultaneous distributed-boundary optimal control problems () on the internal energy and the heat flux for a system governed by a mixed…
Explicit solutions related to the Rubinstein binary-alloy solidification problem with a heat flux or a convective condition at the fixed face
Lucas D. Venturato, Mariela B. Cirelli, Domingo A. Tarzia
Similarity solutions for the two-phase Rubinstein binary-alloy solidification problem in a semi-infinite material are developed. These new explicit solutions are obtained by consid…