Existence of the minimal positive solution of some nonlinear elliptic systems when the nonlinearity is the sum of a sublinear and a superlinear term |
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Authors: | Nicolae Tarfulea |
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Affiliation: | Department of Mathematics, the Pennsylvania State University, University Park, PA 16802, USA |
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Abstract: | It is shown that there exists Λ>0 such that, for every λε(0, Λ), the semilinear elliptic system: Δu = λu | u |q-1 + u | u |p-1 - υ, in ω, u=v=0 on ∂ ω, where ω εR N(N≥2) is a bounded domain with smooth boundary and 0λ, vλ). Moreover: uλ and vλ are strictly increasing with respect to λ. |
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Keywords: | reaction diffusion system positive solution nonlinear equation |
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