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Regularity results on a class of doubly nonlocal problems - MaRDI portal

Regularity results on a class of doubly nonlocal problems (Q2297259)

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Regularity results on a class of doubly nonlocal problems
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    Regularity results on a class of doubly nonlocal problems (English)
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    18 February 2020
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    This paper is devoted to the study of the regularity properties of solutions for a class of doubly nonlocal problems driven by the fractional Laplace operator. The authors are also interested in the study of the \(H^s\) versus \(C^0\)-weighted minimizers of the associated energy functional. In the final part of this paper there are given applications to existence and multiplicity properties of solutions.
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    Choquard equation
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    fractional Laplacian
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    regularity
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    uniform bound
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    singular nonlinearity
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    local minimizers
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