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arxiv: 0810.2565 · v1 · submitted 2008-10-14 · 🧮 math.AP

Radial Solutions for Hamiltonian Elliptic Systems with Weights

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keywords ellipticradialsolutionssystemsweightsexistencefractional-orderhamiltonian
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We prove the existence of infinitely many radial solutions for elliptic systems in Rn with power weights. A key tool for the proof will be a weighted imbedding theorem for fractional-order Sobolev spaces, that could be of independent interest.

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