Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent. The proof relies on a combination of the Nehari manifold technique and Ekeland’s variational principle.

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Publication Details

Journal
Fractal and Fractional
Published
2026-04-16
DOI
https://doi.org/10.3390/fractalfract10040263
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Chuanzhi Bai, Zhenyu Bai
Fractal and Fractional
Nonlinear Partial Differential Equations
article

Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Chuanzhi Bai, Zhenyu Bai
article en

Abstract

We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent. The proof relies on a combination of the Nehari manifold technique and Ekeland’s variational principle.

Fractal and FractionalVol. 10(4)
Guizhou University (CN), Huaiyin Normal University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 18%
Nonlinear Partial Differential Equations
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