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On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures

  • Published:2020-01 Issue: Volume:133 Page:118-138
  • ISSN:0021-7824
  • Container-title:Journal de Mathématiques Pures et Appliquées
  • language:en
  • Short-container-title:Journal de Mathématiques Pures et Appliquées

Author:

Barilari D.,Chitour Y.,Jean F.,Prandi D.,Sigalotti M.

Funder

French National Research Agency

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

1. A Comprehensive Introduction to Sub-Riemannian Geometry;Agrachev,2019

2. BV functions and sets of finite perimeter in sub-Riemannian manifolds;Ambrosio;Ann. Inst. Henri Poincaré, Anal. Non Linéaire,2015

3. Some open problems;Agrachev,2014

4. Strong minimality of abnormal geodesics for 2-distributions;Agrachëv;J. Dyn. Control Syst.,1995

5. Sub-Riemannian metrics: minimality of abnormal geodesics versus subanalyticity;Agrachev;ESAIM Control Optim. Calc. Var.,1999

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1. Higher Order Goh Conditions for Singular Extremals of Corank 1;Archive for Rational Mechanics and Analysis;2024-03-22

2. Derivatives of Sub-Riemannian Geodesics are Lp-Hölder Continuous;ESAIM: Control, Optimisation and Calculus of Variations;2023

3. Geodesic fields for Pontryagin type C0-Finsler manifolds;ESAIM: Control, Optimisation and Calculus of Variations;2022

4. ODE trajectories as abnormal curves in Carnot groups;Journal of Differential Equations;2021-11

5. Non-minimality of spirals in sub-Riemannian manifolds;Calculus of Variations and Partial Differential Equations;2021-09-04
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