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- W2019116885 abstract "This paper studies the asymptotic behavior near the boundary for boundary blow-up solutions to p-Laplacian elliptic equations −Δpu=a(x)h(u)−b(x)f(u) in a smooth bounded domain Ω of RN with N≥2, where Δpu=div(∣∇u∣p−2∇u) with p>1. We assume that f(u) does not grow like uq with q>p−1 or faster at infinity, but behaves like up−1lnαu as u→∞ for some α>p, and h(u) does not grow faster than up−1 at infinity. This case is more difficult to handle than those two cases (f(u) grows like uq with q>p−1 or faster at infinity). Under suitable conditions on the weight function b(x), which may vanish on ∂Ω, we obtain the first order expansion of the large solutions near the boundary. Uniqueness of such solutions would then follow as a consequence." @default.
- W2019116885 created "2016-06-24" @default.
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- W2019116885 date "2013-06-01" @default.
- W2019116885 modified "2023-09-28" @default.
- W2019116885 title "Boundary blow-up solutions of -Laplacian elliptic equations with a weakly superlinear nonlinearity" @default.
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- W2019116885 doi "https://doi.org/10.1016/j.nonrwa.2012.10.016" @default.
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