Chunlian Liu

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We consider the boundary blow-up nonlinear elliptic problems ∆u ± λ|∇u|q = k(x)g(u) in a bounded domain with boundary condition u|∂Ω = +∞, where q ∈ [0, 2] and λ ≥ 0. Under suitable growth assumptions on k near the boundary and on g both at zero and at infinity, we show the existence of at least one solution in C2(Ω). Our proof is based on the method of(More)
The contents, speciation, source factors and potential ecological risks of the selected metals (Cr, Ni, Cu, Pb, Zn, Cd and As) were analyzed in surface sediments from Daya Bay (DYB). The results show that, with the exception of Pb, metal concentrations have decreased at all sites over the past decade. The distribution features of these concentrations(More)
Increasing global temperature and sea-level rise have led to concern about expansions in the distribution and prevalence of complex-lifecycle parasites (CLPs). Indeed, numerous environmental variables can influence the infectivity and reproductive output of many pathogens. Digenean trematodes are CLPs with intermediate invertebrate and definitive vertebrate(More)
In this paper, we prove the existence of the positive large solutions for the equation 0096-3 doi:10. q Pro Scienc Found * Co Jiangsu E-m divðjruj ruÞ þ kðjxjÞjruj 1 1⁄4 uðx; uðxÞÞ in the whole space R ðN P 3Þ, where k : 1⁄20;1Þ ! 1⁄20;1Þ is a continuous function and m > 1, with u : R 1⁄20;1Þ ! 1⁄20;1Þ is required to satisfy some hypotheses detailed blow.(More)
In this paper,we study the boundary behavior of solutions to boundary blow-up elliptic problems ⎪⎨ ⎪⎩ div(|∇u|m−2∇u)±|∇u(x)|q(m−1) = b(x) f (u), x ∈Ω, u > 0, x ∈Ω, u|∂Ω = +∞, where Ω is a bounded domain with smooth boundary in RN , m > 1 , q > 0 , b ∈Cα (Ω) , which is positive in Ω and may be vanishing on the boundary and rapidly varying near the boundary,(More)
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