Consider a soap bubble. The way it contains the minimal possible surface area is surprisingly efficient. This is not a trivial issue. Mathematicians have been looking for better ways to calculate ...

A minimal surface is the surface of smallest area of all the surfaces bounded by a closed curve in space. Its mean curvature is zero. Minimal surfaces greatly interested a few nineteenth century ...

Minimal surface theory investigates surfaces that locally minimise area subject to boundary constraints, characterised by zero mean curvature at every point. This classical field connects differential ...

Nonlocal minimal surface theory extends the classical notion of minimal surfaces by incorporating interactions over finite or infinite distances through integral functionals. Rather than depending ...

With the rapid development of material science and manufacturing science, a large number of complex structures have been designed, manufactured and applied in the industrial field. Most of the current ...