Semiconcavity results and sensitivity relations for the sub-Riemannian distance

In the first section, we use a kind of reverse H¨ older inequality to prove that the optimal solutions of (5) are in some sense slightly “more integrable” than what we could expect..

- Using the layer potentials theory and the properties of the singular fundamental solution we obtain a regularity theorem in Sobolev spaces for solutions of

In this paper, we prove regularity properties of the boundary of the optimal shapes Ω ∗ in any case and in any dimension.. Full regularity is obtained in

In Section 3 we consider control systems in the form (4), and we prove the continuity of the value function for general time-dependent vector fields.. Finally, in Section 4 we

If d = 2, in order to have the regularity of the whole boundary, we have to show that Theorem 6.6 and Corollary 6.7 in [1] (which are for solutions and not weak-solutions) are

Ce lemme permet, quand on connaît un majorant d’une fonction analytique sur un gros disque (rayon R) et qu’on en a des estimations plus fines (jusqu’à un certain ordre

Les pays regroupés au sein de grands empires Se sentaient bien plus forts et protégés du pire Au cours de leur histoire le jeu des alliances Fédérait les états augmentait leur

Abnormal minimizers are responsible for a phenomenon of non-properness (Proposition 5.3), which geometrically implies the following property : under certain assumptions the level