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Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets - MaRDI portal

Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets (Q1794393)

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scientific article; zbMATH DE number 6954513
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Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets
scientific article; zbMATH DE number 6954513

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    Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets (English)
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    15 October 2018
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    The authors consider the existence of positive weak solutions of a fractional Lane-Emden equations with prescribed singular sets. They extend the results in [\textit{C.-C. Chen} and \textit{C.-S. Lin}, J. Geom. Anal. 9, No. 2, 221--246 (1999; Zbl 0958.35050)] to the fractional case. In the reviewer's opinion, this is very interesting.
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    fractional Laplacian, infinitely many solutions
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