6 citations · 12 across the 5 of their papers we have counts for
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Quantitative homogenization for the obstacle problem and its free boundary
Gohar Aleksanyan, Tuomo Kuusi
In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients. As a consequence, large-scale regularity results both…
Regularity of the free boundary for a parabolic cooperative system
Gohar Aleksanyan, Morteza Fotouhi, Henrik Shahgholian +1
In this paper we study the following parabolic system \begin{equation*} Δ\u -\partial_t \u =|\u|^{q-1}\u\,χ_{\{ |\u|>0 \}}, \qquad \u = (u^1, \cdots , u^m) \ , \end{equation*} with…
Analysis of blow-ups for the double obstacle problem in dimension two
Gohar Aleksanyan
In this article we study a normalised double obstacle problem with polynomial obstacles under the assumption that iff . In dimension two we gi…
Regularity of the free boundary in the biharmonic obstacle problem
Gohar Aleksanyan
In this article we use flatness improvement argument to study the regularity of the free boundary for the biharmonic obstacle problem with zero obstacle. Assuming that the solution…
Optimal regularity in the optimal switching problem
Gohar Aleksanyan
In this article we study the optimal regularity for solutions to the following weakly coupled system with interconnected obstacles \begin{equation*} \begin{cases} \min (-Δu^1+f^1,…