49 citations · 101 across the 30 of their papers we have counts for
34 papers
Handlebody-knots obtained by tangle replacement
Giovanni Bellettini, Giovanni Paolini, Maurizio Paolini +1
We study tangle replacement in the context of handlebody-knots. The main results classify the handlebody-knots obtained by performing tangle replacement on the prime spatial handcu…
On unique decomposition of knotted handlebodies
Giovanni Bellettini, Maurizio Paolini, Yi-Sheng Wang
The paper considers the uniqueness question of factorization of a knotted handlebody in the -sphere along decomposing -spheres. We obtain a uniqueness result for factorizatio…
The -relaxed area of the graph of the vortex map: optimal upper bound
Giovanni Bellettini, Alaa Elshorbagy, Riccardo Scala
We compute an upper bound for the value of the -relaxed area of the graph of the vortex map , , $x \neq 0…
Upper bounds for the relaxed area of -valued Sobolev maps and its countably subadditive interior envelope
Giovanni Bellettini, Riccardo Scala, Giuseppe Scianna
Given a bounded open connected Lipschitz set , we show that the relaxed Cartesian area functional of a map $u\in W^{1,1}(Ω;\mathb…
Relaxed area of graphs of piecewise Lipschitz maps in the strict -convergence
Giovanni Bellettini, Simone Carano, Riccardo Scala
We compute the relaxed Cartesian area in the strict -convergence on a class of piecewise Lipschitz maps from the plane to the plane, having jump made of several curves allowed…
The relaxed area of -valued singular maps in the strict -convergence
Giovanni Bellettini, Simone Carano, Riccardo Scala
Given a bounded open set , we study the relaxation of the nonparametric area functional in the strict topology in , and compute it for vo…