5 citations · 11 across the 3 of their papers we have counts for
7 papers
A Hamiltonian approach to small time local attainability of manifolds for nonlinear control systems
Pierpaolo Soravia
This paper develops a new approach to small time local attainability of smooth manifolds of any dimension, possibly with boundary and to prove Hölder continuity of the minimum time…
A degenerate elliptic equation for second order controllability of nonlinear systems
Pierpaolo Soravia
For a general nonlinear control system, we study the problem of small time local attainability of a target which is the closure of an open set. When the target is smooth and locall…
On viscosity and equivalent notions of solutions for anisotropic geometric equations
Cecilia De Zan, Pierpaolo Soravia
We prove that viscosity solutions of geometric equations in step two Carnot groups can be equivalently reformulated by restricting the set of test functions at the singular points.…
The Aronsson equation, Lyapunov functions and local Lipschitz regularity of the minimum time function
Pierpaolo Soravia
We define and study solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the t…
Regularity of the minimum time and of viscosity solutions of degenerate eikonal equations via generalized Lie brackets
Martino Bardi, Ermal Feleqi, Pierpaolo Soravia
In this paper we relax the current regularity theory for the eikonal equation by using the recent theory of { set-valued} iterated Lie brackets. We give sufficient conditions for s…
Some results on second order controllability conditions
Pierpaolo Soravia
For a symmetric system, we want to study the problem of crossing an hypersurface in the neighborhood of a given point, when we suppose that all of the available vector fields are t…