64 citations · 146 across the 27 of their papers we have counts for
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math.AP2026
Korn and Poincaré-Korn inequalities for thin domains in
Davit Harutyunyan
We prove Korn's first inequalities with and without boundary conditions in () in -regular thin domains with Lipschitz thickness boundaries with a cons…
math.AP2026
On weighted rigidity estimates for bulk and thin domains
Davit Harutyunyan, Andre. M. Rodrigues
This work is concerned with weighted Geometric Rigidity Estimates and Korn's first inequalities in bulk and thin domains. We consider weights, that are a nonnegative power of the d…
math.AG2026
Rank-one convexity, polyconvexity, and extremality for three-dimensional elasticity tensors in various symmetry classes
Davit Harutyunyan, Gagik Amirkhanyan
It has been known that, for quadratic functions, quasiconvexity equals rank-one convexity but need not equal polyconvexity. While there is an explicit characterization of polyconve…