Existence of blowup solutions for nonlinear problems with a gradient term
We prove the existence of positive explosive solutions for the equation Δu+λ(|x|)|∇u(x)|=ϕ(x,u(x)) in the whole space ℝN(N≥3), where λ:[0,∞)→[0,∞) is a continuous function and ϕ:ℝN×[0,∞)→[0,∞) is required to satisfy some hypotheses detailed below. More precisely, we will give a necessary and suffici...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/80605 |