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Fractional Kirchhoff problem with critical indefinite nonlinearity

João Marcos do Ó, Xiaoming He and Pawan Kumar Mishra

Mathematische Nachrichten, 2019, vol. 292, issue 3, 615-632

Abstract: We study the existence and multiplicity of positive solutions for a family of fractional Kirchhoff equations with critical nonlinearity of the form M∫∫R2N|u(x)−u(y)|2|x−y|N+2sdxdy(−Δ)su=λf(x)|u|q−2u+|u|2s∗−2uinΩ,u=0inRN∖Ω,where Ω⊂RN is a smooth bounded domain, 0

Date: 2019
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https://doi.org/10.1002/mana.201800044

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