There are currently efforts to improve strategies for biomimetic approaches, to identify pitfalls
and to provide recommendations for a successful biomimetic work flow. In this contribution, a …

In this note we use the strong maximum principle and integral estimates prove two results on
minimal hypersurfaces F: M n→ R n+ 1 with free boundary on the standard unit sphere. First …

In this paper we continue to study the connection among the area minimizing problem,
certain area functional and the Dirichlet problem of minimal surface equations in a class of …

In this paper we study the mean curvature flow of embedded disks with free boundary on an
embedded cylinder or generalised cone of revolution, called the support hypersurface. We …

In this paper we study the area minimizing problem in some kinds of conformal cones. This
concept is a generalization of the cones in Euclidean spaces and the cylinders in product …

The aim of the present work is to relate the shape of a liquid drop in some contexts on
capillarity and wetting with the surfaces that are mathematical models of these droplets …

In this paper we consider the evolution of regular closed elastic curves γ immersed in Rn.
Equipping the ambient Euclidean space with a vector field: Rn→ Rn and a function f: Rn→ …