28 citations · 95 across the 15 of their papers we have counts for
17 papers
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…
Convexity of weakly regular surfaces of distributional nonnegative intrinsic curvature
Mohammad Reza Pakzad
We prove that the image of an isometric embedding into of a two dimensionnal complete Riemannian manifold without boundary is a convex surface provided bot…
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…
Finite distortion Sobolev mappings between manifolds are continuous
Paweł Goldstein, Piotr Hajłasz, Mohammad Reza Pakzad
We prove that if and are Riemannian, oriented -dimensional manifolds without boundary and additionally is compact, then Sobolev mappings of finite dis…