Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity
We consider a Neumann problem for the fractional Laplacian involving a nonlocal Choquard-type nonlinearity and Sobolev–Hardy exponent. Under suitable assumptions on the data and using the Nehari manifold method, we discuss the existence problem in several subcritical and critical cases.
Authors
- Wei Chen (ORCID: https://orcid.org/0000-0002-8870-6221)
- Tianqing An (ORCID: https://orcid.org/0000-0002-1480-6983)
- Calogero Vetro (ORCID: https://orcid.org/0000-0001-5836-6847)
- Zhenfeng Zhang (ORCID: https://orcid.org/0009-0007-5285-6731)
Institutions
- Linyi University (CN)
- Hohai University (CN)
- University of Palermo (IT)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-08-30
- DOI
- https://doi.org/10.3390/fractalfract9090574
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Scholarship Council
- Università degli Studi di Palermo
- Natural Science Foundation of Shandong Province
- Fuyang Normal University
- Doctoral Foundation of Fuyang Normal University