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

Published 30 Aug 2024 in math.AP | (2408.17007v2)

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.

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