28 citations · 95 across the 15 of their papers we have counts for
13 papers · 1 filter
The biharmonic optimal support problem
Antoine Lemenant, Mohammad Reza Pakzad
We establish a -convergence result for of a thin nonlinearly elastic 3D-plate of thickness which is assumed to be glued to a support region in the 2D-plane $x_3=0…
Fractional Sobolev isometric immersions of planar domains
Siran Li, Mohammad Reza Pakzad, Armin Schikorra
We discuss regularity and developability of isometric immersions of flat domains into enjoying a local fractional Sobolev regularity for $2/3…
The geometry of flat isometric immersions
Camillo De Lellis, Mohammad Reza Pakzad
We show that any isometric immersion of a flat plane domain into is developable provided it enjoys the little Hölder regulairty . In particular, isometric…
Approximation by mappings with singular Hessian minors
Zhuomin Liu, Jan Malý, Mohammad Reza Pakzad
Let be a Lipschitz domain. Given and any belonging to the little Hölder class , we construct a sequence in…
Convex integration for the Monge-Ampère equation in two dimensions
Marta Lewicka, Mohammad Reza Pakzad
This paper concerns the questions of flexibility and rigidity of solutions to the Monge-Ampère equation which arises as a natural geometrical constraint in prestrained nonlinear el…
The metric-restricted inverse design problem
Amit Acharya, Marta Lewicka, Mohammad Reza Pakzad
We study a class of design problems in solid mechanics, leading to a variation on the classical question of equi-dimensional embeddability of Riemannian manifolds. In this general…