Existence of positive bounded solutions for some nonlinear elliptic systems |
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Authors: | A Ghanmi S Turki |
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Institution: | Département de Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, 2092 Tunis, Tunisia |
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Abstract: | We prove some existence results of positive bounded continuous solutions to the semilinear elliptic system Δu=λp(x)g(v), Δv=μq(x)f(u) in domains D with compact boundary subject to some Dirichlet conditions, where λ and μ are nonnegative parameters. The functions f,g are nonnegative continuous monotone on (0,∞) and the potentials p, q are nonnegative and satisfy some hypotheses related to the Kato class K(D). |
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Keywords: | Green function Kato class Elliptic systems Positive bounded solutions |
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