16 citations · 17 across the 2 of their papers we have counts for
3 papers
Second order splitting for a class of fourth order equations
Charles M. Elliott, Hans Fritz, Graham Hobbs
We formulate a well-posedness and approximation theory for a class of generalised saddle point problems. In this way we develop an approach to a class of fourth order elliptic part…
Small deformations of Helfrich energy minimising surfaces with applications to biomembranes
Charles M. Elliott, Hans Fritz, Graham Hobbs
In this paper we introduce a mathematical model for small deformations induced by external forces of closed surfaces that are minimisers of Helfrich-type energies. Our model is sui…
A Variational Approach to Particles in Lipid Membranes
Charles M. Elliott, Carsten Gräser, Graham Hobbs +2
A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspecti…