Asymptotic behavior of large solution for boundary blowup problems with non-linear gradient terms |
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Authors: | Shuibo Huang Qiaoyu Tian |
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Institution: | Department of Mathematics, Gansu Normal University for Nationalities, Hezuo Gansu 747000, PR China |
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Abstract: | Let Ω⊂RN(N?3) be a bounded domain with smooth boundary. We show the asymptotic behavior of boundary blowup solutions to non-linear elliptic equation Δu±|∇u|q=b(x)f(u) in Ω, subject to the singular boundary condition u(x)=∞ as dist(x,∂Ω)→0,f is Γ-varying at ∞. Our analysis is based on the Karamata regular variation theory combined with the method of lower and supper solution. |
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Keywords: | Boundary blowup Non-linear gradient terms Karamata regular variation theory |
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