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math.DS2011★ 22 cited
Entire minimal parabolic trajectories: the planar anisotropic Kepler problem
Vivina Barutello, Susanna Terracini, Gianmaria Verzini
We continue the variational approach to parabolic trajectories introduced in our previous paper [5], which sees parabolic orbits as minimal phase transitions. We deepen and complet…
math.DS2011★ 7 cited
Entire Parabolic Trajectories as Minimal Phase Transitions
Vivina Barutello, Susanna Terracini, Gianmaria Verzini
For the class of anisotropic Kepler problems in $\RR^d\setminus\{0\}$ with homogeneous potentials, we seek parabolic trajectories having prescribed asymptotic directions at infinit…