1 citations · 1 across the 4 of their papers we have counts for
10 papers
On Some Quasi-Variational Inequalities and Other Problems with Moving Sets
José-Luis Menaldi, Carlos N. Rautenberg
Since its introduction over 50 years ago, the concept of Mosco convergence has permeated through diverse areas of mathematics and applied sciences. These include applied analysis,…
Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints
Harbir Antil, Rafael Arndt, Carlos N. Rautenberg +1
In this paper, we consider non-diffusive variational problems with mixed boundary conditions and (distributional and weak) gradient constraints. The upper bound in the constraint i…
Differentiability and Control of a Model for Granular Material Accumulation
Rafael Arndt, Carlos N. Rautenberg
We consider differentiability issues associated to the problem of minimizing the accumulation of a granular cohesionless material on a certain surface. The design variable or contr…
Existence, uniqueness, and stabilization results for parabolic variational inequalities
Axel Kröner, Carlos N. Rautenberg, Sérgio S. Rodrigues
In this paper we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show…
On a Fractional Version of a Murat Compactness Result and Applications
Harbir Antil, Carlos N. Rautenberg, Armin Schikorra
The paper provides an extension, to fractional order Sobolev spaces, of the classical result of Murat and Brezis which states that the positive cone of elements in comp…
Variable step mollifiers and applications
Michael Hintermüller, Kostas Papafitsoros, Carlos N. Rautenberg
We consider a mollifying operator with variable step that, in contrast to the standard mollification, is able to preserve the boundary values of functions. We prove boundedness of…