A Liouville theorem for the Lane-Emden system in the half-space

Autor: Li, Yimei, Souplet, Philippe
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages
Databáze: arXiv