Multiplicity of Solutions for Nonlocal Elliptic Equations With Singular and Critical Hardy–Sobolev Nonlinearity

ABSTRACT We employ variational techniques to prove the existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional ‐Laplacian with singular and critical Hardy–Sobolev nonlinearity in a bounded domain.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2026-09-29
DOI
https://doi.org/10.1002/mma.71012
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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Multiplicity of Solutions for Nonlocal Elliptic Equations With Singular and Critical Hardy–Sobolev Nonlinearity

Ying Wang
Mathematical Methods in the Applied Sciences
Nonlinear Partial Differential Equations
article

Multiplicity of Solutions for Nonlocal Elliptic Equations With Singular and Critical Hardy–Sobolev Nonlinearity

Ying Wang
article en

Abstract

ABSTRACT We employ variational techniques to prove the existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional ‐Laplacian with singular and critical Hardy–Sobolev nonlinearity in a bounded domain.

Mathematical Methods in the Applied Sciences
North China University of Water Resources and Electric Power (CN)
Reduced inequalities
Openalex Percentile: Top 7%
Nonlinear Partial Differential Equations
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Multiplicity of Solutions for Nonlocal Elliptic Equations With Singular and Critical Hardy–Sobolev Nonlinearity — Ying Wang · Mathematical Methods in the Applied Sciences (2026) | TGRS Research Map | TGRS