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Autor:
Michelat, Alexis, Rivière, Tristan
We present a viscosity approach to the min-max construction of closed geodesics on compact Riemannian manifolds of arbitrary dimension. We also construct counter-examples in dimension $1$ and $2$ to the $\varepsilon$-regularity in the convergence pro
Externí odkaz:
http://arxiv.org/abs/1511.04545
Autor:
Alexis Michelat, Tristan Rivière
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 22:1282-1324
We present a viscosity approach to the min-max construction of closed geodesics on compact Riemannian manifolds of arbitrary dimension. The existence is proved in the case of surfaces, and reduced to a topological condition in general. We also constr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c458523cce65d4b2c09edb2d4804934a
https://doi.org/10.1051/cocv/2016039
https://doi.org/10.1051/cocv/2016039
