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On the existence of multiple positive solutions to some superlinear systems

  • M. Chhetri (a1), S. Raynor (a2) and S. Robinson (a2)

Abstract

We use the method of upper and lower solutions combined with degree-theoretic techniques to prove the existence of multiple positive solutions to some superlinear elliptic systems of the form

on a smooth, bounded domain Ω⊂ℝn with Dirichlet boundary conditions, under suitable conditions on g1 and g2. Our techniques apply generally to subcritical, superlinear problems with a certain concave–convex shape to their nonlinearity.

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On the existence of multiple positive solutions to some superlinear systems

  • M. Chhetri (a1), S. Raynor (a2) and S. Robinson (a2)

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