3 citations · 11 across the 30 of their papers we have counts for
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Blaschke's rolling ball theorem and the Trudinger-Wang monotone bending
Aram L. Karakhanyan
We revisit the classical rolling ball theorem of Blaschke for convex surfaces with positive curvature and show that it is linked to another inclusion principle in the optimal mass…
Regularity for a quasilinear continuous casting problem
Aram Karakhanyan
In this paper study the regularity of continuous casting problem \begin{equation} \hbox{div}(|\nabla u|^{p-2}\nabla u-{\bf v} β(u))=0\tag{} \end{equation} for prescribed co…
A class of unstable free boundary problems
Serena Dipierro, Aram Karakhanyan, Enrico Valdinoci
We consider the free boundary problem arising from an energy functional which is the sum of a Dirichlet energy and a nonlinear function of either the classical or the fractional pe…
A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two
Serena Dipierro, Aram Karakhanyan
We continue the analysis of the two-phase free boundary problems initiated in \cite{DK}, where we studied the linear growth of minimizers in a Bernoulli type free boundary problem…
Stratification of free boundary points for a two-phase variational problem
Serena Dipierro, Aram L. Karakhanyan
In this paper we study the two-phase Bernoulli type free boundary problem arising from the minimization of the functional $$ J(u):=\int_Ω|\nabla u|^p +λ_+^p\,χ_{\{u>0\}} +λ_-^p\,χ_…
Estimates for capacity and discrepancy of convex surfaces in sieve-like domains with an application to homogenization
Aram L. Karakhanyan, Martin Strömqvist
We consider the intersection of a convex surface $\Ga$ with a periodic perforation of , which looks like a sieve, given by $T_\e = \bigcup_{k\in \Z^d}\{\e k+a_\e T\}$ where $…