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半空间上Choquard方程的Liouville型定理
Liouville-Type Theorem for Choquard Equation in Half-Space

DOI: 10.12677/pm.2025.154126, PP. 234-242

Keywords: Choquard方程，移动平面法，Liouville型定理
Choquard Equation, Method of Moving Planes, Liouville-Type Theorem

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Abstract:

本文研究半空间上Choquard方程 { ？Δu( y )= ∫ ？ ？ + N | u( x ˉ ,0 ) | p | ( x ˉ ,0 )？y | N？α d x ˉ | u( y ) | p？2 u( y ),y∈ ？ + N ？u ？ν ( x ˉ ,0 )= ∫

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