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Existence of two positive solutions for a class of semilinear elliptic equations with singularity and critical exponent

Jia-Feng LiaoJiu LiuPeng ZhangChun-Lei Tang — 2016

Annales Polonici Mathematici

We study the following singular elliptic equation with critical exponent ⎧ - Δ u = Q ( x ) u 2 * - 1 + λ u - γ in Ω, ⎨u > 0 in Ω, ⎩u = 0 on ∂Ω, where Ω N (N≥3) is a smooth bounded domain, and λ > 0, γ ∈ (0,1) are real parameters. Under appropriate assumptions on Q, by the constrained minimizer and perturbation methods, we obtain two positive solutions for all λ > 0 small enough.

Automatic detection of urban traffic incidents and supporting decision model for police dispatching based on travel time

Guangyu ZhuJingxuan ZhangHaotian LinPeng Zhang — 2016

Kybernetika

It is very important to get the complete and timely information of urban road traffic incidents and then to make a reasonable strategy for police dispatching. By improving the efficiency of sending police, the loss of traffic incidents and the pressure of traffic police will be reduced greatly. An assistant decision model of police dispatching based on the information of automatic traffic incident detection is proposed in this paper. Firstly, an automatic traffic incident detection algorithm is...

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