A Liouville theorem for the Lane-Emden system in the half-space
arXiv:2408.17007
Abstract
We prove that the Dirichlet problem for the Lane-Emden system in a half-space has no positive classical solution that is bounded on finite strips. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the powers in the nonlinearities.
14 pages, minor typos corrected in v2