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- W2016143669 abstract "We consider an elliptic system of the form −Δu=λf(x,v)in Ω,−Δv=λg(x,u)in Ω,u=0=von ∂Ω, where λ>0 is a parameter and Ω is a bounded domain in RN with C2,α boundary ∂Ω. Here the nonlinearities f,g:Ω×[0,∞)→R are Carathéodory functions that are superlinear at infinity and satisfy f(x,0)<0 and g(x,0)<0 almost everywhere in Ω. We prove that the system has a positive strong solution for λ small by using degree theory combined with re-scaling argument and a uniform L∞ apriori bound of positive strong solutions to some Lane–Emden type of systems." @default.
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- W2016143669 date "2013-12-01" @default.
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- W2016143669 title "Existence of positive solutions for a class of superlinear semipositone systems" @default.
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- W2016143669 doi "https://doi.org/10.1016/j.jmaa.2013.06.041" @default.
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