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arxiv: 1302.0996 · v1 · pith:26U64IGKnew · submitted 2013-02-05 · 🧮 math.AP · math.CA

Radially symmetric solutions to the H\`enon-Lane-Emden system on the critical hyperbola

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keywords solutionscriticalenon-lane-emdenhyperbolaradiallysymmetricsystemdiscuss
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We use variational methods to study the existence of nontrivial and radially symmetric solutions to the H\`enon-Lane-Emden system with weights, when the exponents involved lie on the "critical hyperbola". We also discuss qualitative properties of solutions and nonexistence results.

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