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- W2029620059 abstract "We consider the elliptic system Δu=upvq, Δv=urvs in Ω, where p,s>1, q,r>0, and Ω⊂RN is a smooth bounded domain, subject to different types of Dirichlet boundary conditions: (F) u=λ, v=μ, (I) u=v=+∞ and (SF) u=+∞, v=μ on ∂Ω, where λ,μ>0. Under several hypotheses on the parameters p,q,r,s, we show existence and nonexistence of positive solutions, uniqueness and nonuniqueness. We further provide the exact asymptotic behaviour of the solutions and their normal derivatives near ∂Ω. Some more general related problems are also studied." @default.
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- W2029620059 date "2004-11-01" @default.
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- W2029620059 title "Boundary blow-up solutions to elliptic systems of competitive type" @default.
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- W2029620059 doi "https://doi.org/10.1016/j.jde.2003.12.004" @default.
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