4 papers
Weak elastic energy of rectifiable curves in Riemannian surfaces
Domenico Mucci, Alberto Saracco, Cristian Sopio
We introduce a weak elastic energy for rectifiable curves on compact orientable smooth Riemannian surfaces without boundary. The energy is defined by relaxation starting from a not…
Weak elastic energy of rectifiable curves in the sphere
Domenico Mucci, Alberto Saracco, Cristian Sopio
We introduce for any exponent the -curvature functional for rectifiable curves in the two-dimensional sphere. We prove that this functional is finite and agrees with the i…
The fundamental theorem of the local theory for non-smooth curves
Domenico Mucci, Alberto Saracco
We extend the classical fundamental theorem of the local theory of smooth curves to a wider class of non-smooth data. Curvature and torsion are prescribed in terms of the distribut…
Strict BV relaxed area of Sobolev maps into the circle: the high dimension case
Simone Carano, Domenico Mucci
We deal with the relaxed area functional in the strict -convergence of non-smooth maps defined in domains of generic dimension and taking values into the unit circle. In case o…