Existence Results for Neumann Problem with Critical Sobolev–Hardy Exponent and Choquard-Type Nonlinearity

Year: 2025

Type: article

Abstract: 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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9090574

Authors: Zhenfeng Zhang, Calogero Vetro, Tianqing An, Wei Chen

Institutions: Hohai University, University of Palermo, Linyi University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

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

OpenAlex ID: W4413929099