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arxiv: 1402.1529 · v1 · pith:F6W5UZTVnew · submitted 2014-02-06 · 🧮 math.CA

Existence results for one-dimensional fractional equations

classification 🧮 math.CA
keywords fractionalone-dimensionaladmitsapplicationasymptoticalbehaviourclassconcrete
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In this note a critical point result for differentiable functionals is exploited in order to prove that a suitable class of one-dimensional fractional problems admits at least one non-trivial solution under an asymptotical behaviour of the nonlinear datum at zero. A concrete example of an application is then presented.

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