On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍ n -Reference-Cited by-同舟云学术

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

Published:2024-01-01 Issue:1 Volume:12 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Liang Sihua¹,Pucci Patrizia²,Song Yueqiang¹,Sun Xueqi¹

Affiliation:

1. College of Mathematics, Changchun Normal University , Changchun , 130032 , P.R. China

2. Dipartimento di Matematica e Informatica, Università degli Studi di Perugia , via Vanvitelli 1 , 06123 Perugia , Italy

Abstract

Abstract This article is devoted to the study of a critical Choquard-Kirchhoff

-sub-Laplacian equation on the entire Heisenberg group

H n

{{\mathbb{H}}}^{n}

, 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/agms-2024-0006/pdf

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