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arxiv: 1801.05343 · v1 · pith:O5TIUIFWnew · submitted 2018-01-16 · 🧮 math.AP

On The Extremal Parameters Curve of a Quasilinear Elliptic System of Differential Equations

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keywords ellipticequationsextremalparametersquasilinearsystemconcerningconsider
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We consider a system of quasilinear elliptic equations, with indefinite super-linear nonlinearity, depending on two real parameters $\lambda,\mu$. By using the Nehari manifold and the notion of extremal parameter, we extend some results concerning existence of positive solutions.

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