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arxiv: 1504.00551 · v1 · pith:6ZDOHFGFnew · submitted 2015-04-02 · 🧮 math.AP

Nonlocal problems at critical growth in contractible domains

classification 🧮 math.AP
keywords contractiblecriticalgrowthnonlocalproblemsdomaindomainsequation
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We prove the existence of a positive solution for nonlocal problems involving the fractional Laplacian and a critical growth power nonlinearity when the equation is set in a suitable contractible domain.

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