30 citations · 43 across the 5 of their papers we have counts for
5 papers
Local sensitivity analysis of the `Membrane shape equation' derived from the Helfrich energy
P. Rangamani, A. Behzadan, M. Holst
The Helfrich energy is commonly used to model the elastic bending energy of lipid bilayers in membrane mechanics. The governing differential equations for certain geometric charact…
Some Remarks on the Space of Locally Sobolev-Slobodeckij Functions
A. Behzadan, M. Holst
The study of certain differential operators between Sobolev spaces of sections of vector bundles on compact manifolds equipped with rough metric is closely related to the study of…
Sobolev-Slobodeckij Spaces on Compact Manifolds, Revisited
A. Behzadan, M. Holst
In this article we present a coherent rigorous overview of the main properties of Sobolev-Slobodeckij spaces of sections of vector bundles on compact manifolds; results of this typ…
Multiplication in Sobolev Spaces, Revisited
A. Behzadan, M. Holst
In this article, we re-examine some of the classical pointwise multiplication theorems in Sobolev-Slobodeckij spaces, in part motivated by a simple counter-example that illustrates…
Rough solutions of the Einstein Constraint Equations on Asymptotically Flat Manifolds without Near-CMC Conditions
A. Behzadan, M. Holst
In this article we consider the conformal decomposition of the Einstein constraint equations introduced by Lichnerowicz, Choquet-Bruhat, and York, on asymptotically flat (AF) manif…