On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn

This article is devoted to the study of a critical Choquard-Kirchhoff -sub-Laplacian equation on the entire Heisenberg group , where the Kirchhoff function can be zero at zero, i.e., the equation can be degenerate, and involving a nonlinearity, which is critical in the sense of the Hardy-Littlewood-...

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Veröffentlicht in:Analysis and Geometry in Metric Spaces 2024-08, Vol.12 (1), p.135-159
Hauptverfasser: Liang, Sihua, Pucci, Patrizia, Song, Yueqiang, Sun, Xueqi
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Sprache:eng
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Zusammenfassung:This article is devoted to the study of a critical Choquard-Kirchhoff -sub-Laplacian equation on the entire Heisenberg group , where the Kirchhoff function can be zero at zero, i.e., the equation can be degenerate, and involving a nonlinearity, which is critical in the sense of the Hardy-Littlewood-Sobolev inequality. We first establish the concentration-compactness principle for the -sub-Laplacian Choquard equation on the Heisenberg group, and we then prove existence results.
ISSN:2299-3274
DOI:10.1515/agms-2024-0006