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arxiv: 1311.0645 · v1 · pith:B4MEMAR6new · submitted 2013-11-04 · 🧮 math.AP

Multiple solutions for Dirichlet nonlinear BVPs involving fractional Laplacian

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keywords bvpsdirichletfractionallaplaciansolutionsappliedconeequation
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The existence of at least two solutions to superlinear integral equation in cone is proved using the Krasnosielskii Fixed Point Theorem. The result is applied to the Dirichlet BVPs with the fractional Laplacian.

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