Elastic knots in euclidean 3-space
Electrical Impedance Tomography: from topology to shape
Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields
The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable...
Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary.
Existence of minimizers for non-quasiconvex functionals arising in optimal design
Existence of solutions for the one-phase and the multi-layer free-boundary problems with the -Laplacian operator.