@article{ASENS_2007_4_40_3_445_0, author = {Bernard, Patrick}, title = {Existence of ${C}^{1,1}$ critical sub-solutions of the {Hamilton-Jacobi} equation on compact manifolds}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {445--452}, publisher = {Elsevier}, volume = {Ser. 4, 40}, number = {3}, year = {2007}, doi = {10.1016/j.ansens.2007.01.004}, zbl = {1133.35027}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2007.01.004/} }