3 papers
math.AP2015
On the shape of the free boundary of variational inequalities with gradient constraints
Mohammad Safdari
In this paper we derive an estimate on the number of local maxima of the free boundary of some variational inequalities with pointwise gradient constraints. This also gives an esti…
math.AP2015
The regularity of some vector-valued variational inequalities with gradient constraints
Mohammad Safdari
We prove the optimal regularity for some class of vector-valued variational inequalities with gradient constraints. We also give a new proof for the optimal regularity of some scal…
math.AP2015
The free boundary of variational inequalities with gradient constraints
Mohammad Safdari
In this paper we prove that the free boundary of some variational inequalities with gradient constraints is as regular as the tangent bundle of the boundary of the domain. To this…