64 citations · 146 across the 27 of their papers we have counts for
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math.AP2017
Weighted asymptotic Korn and interpolation Korn inequalities with singular weights
Davit Harutyunyan, Hayk Mikayelyan
In this work we derive asymptotically sharp weighted Korn and Korn-like interpolation (or first and a half) inequalities in thin domains with singular weights. The constants (K…
math.AP2017★ 2 cited
On the Korn interpolation and second inequalities in thin domains
Davit Harutyunyan
We consider shells of non-constant thickness in three dimensional Euclidean space around surfaces which have bounded principal curvatures. We derive Korn's interpolation (or the so…
math.AP2017
On the maximization of the solution of Poisson's equation: Brezis-Gallouet-Wainger type inequalities and applications
Davit Harutyunyan, Hayk Mikayelyan
For the solution of the Poisson problem with an right hand side \begin{equation*} \begin{cases} -Δu(x) = f (x) & \mbox{in } D, u=0 & \mbox{on } \partial D, \end{cases} \…