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• W3136522014 abstract "Abstract We prove that the Dirichlet problem for the Lane–Emden equation in a half-space has no positive solution that is monotone in the normal direction. As a consequence, this problem does not admit any positive classical solution that is bounded on finite strips. This question has a long history and our result solves a long-standing open problem. Such a nonexistence result was previously available only for bounded solutions or under a restriction on the power in the nonlinearity. The result extends to general convex nonlinearities." @default.
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• W3136522014 date "2021-03-08" @default.
• W3136522014 modified "2023-09-30" @default.
• W3136522014 title "A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space" @default.
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• W3136522014 doi "https://doi.org/10.1093/imrn/rnaa392" @default.
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