Boundary blow-up elliptic problems with nonlinear gradient terms |
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Authors: | Zhijun Zhang |
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Institution: | Department of Mathematics and Informational Science, Yantai University, Yantai, Shandong, 264005, PR China |
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Abstract: | By Karamata regular variation theory and perturbation method, we show the exact asymptotical behaviour of solutions near the boundary to nonlinear elliptic problems Δu±q|∇u|=b(x)g(u), u>0 in Ω, u|∂Ω=+∞, where Ω is a bounded domain with smooth boundary in RN, q?0, g∈C10,∞),g(0)=0, g′ is regularly varying at infinity with index ρ with ρ>0 and b is nonnegative nontrivial in Ω, which may be vanishing on the boundary. |
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