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• W2024110919 endingPage "170" @default.
• W2024110919 startingPage "140" @default.
• W2024110919 abstract "In this paper, we mainly study the second order expansion of classical solutions in a neighborhood of ∂Ω to the singular Dirichlet problem −Δu=b(x)g(u)+λa(x)f(u), u>0, x∈Ω, u|∂Ω=0, where Ω is a bounded domain with smooth boundary in RN, λ≥0. The weight functions b,a∈Clocα(Ω) are positive in Ω and both may be vanishing or be singular on the boundary. The function g∈C1((0,∞),(0,∞)) satisfies limt→0+⁡g(t)=∞, and f∈C([0,∞),[0,∞)). We show that the nonlinear term λa(x)f(u) does not affect the second order expansion of solutions in a neighborhood of ∂Ω to the problem for some kinds of functions b and a." @default.
• W2024110919 created "2016-06-24" @default.
• W2024110919 creator A5054449075 @default.
• W2024110919 date "2015-07-01" @default.
• W2024110919 modified "2023-10-18" @default.
• W2024110919 title "The second order expansion of solutions to a singular Dirichlet boundary value problem" @default.
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• W2024110919 doi "https://doi.org/10.1016/j.jmaa.2015.02.031" @default.
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