Boundary Poisson Barriers and a Sharper Continuation Theorem for Li–Lin’s Problem

Chan Woo Yang

International Journal of Differential Equations, 2026, vol. 2026, 1-12

Abstract: We sharpen the continuation part of Tang and Tang’s subsupersolution argument for the boundary singular Hardy–Sobolev equation −Δu=−λx−s1up−1+x−s2uq−1 in Ω,u=0 on ∂Ω, with 0∈∂Ω. Their explicit supersolution Mx−α forces the bulk superharmonicity restriction α≤N−2, hence the condition q≤p−s2−s1/N−2. We replace that bulk barrier by Poisson lifts of localized singular boundary data. For every 0 0 and s2−s1/p−q

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:4318320

DOI: 10.1155/ijde/4318320

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