Two Positive Solutions to a Fractional Singular Equation with r(ξ)- Laplacian by the Nehari Manifold Method

In this paper, we investigate the multiplicity of positive solutions for fractional singular equations via the Nehari manifold technique in the ψ-fractional space Hr(ξ)μ,γ;ψ(Λ) and the Harnack-type inequality. We established some essential technical lemmas for the discussion of the main result.

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Publication Details

Journal
Numerical Functional Analysis and Optimization
Published
2026-10-09
DOI
https://doi.org/10.1080/01630563.2026.2741527
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Two Positive Solutions to a Fractional Singular Equation with r(ξ)- Laplacian by the Nehari Manifold Method

Félix Silva Costa, Leandro S. Tavares, J. Vanterler da C. Sousa
Numerical Functional Analysis and Optimization
Nonlinear Partial Differential Equations
article

Two Positive Solutions to a Fractional Singular Equation with r(ξ)- Laplacian by the Nehari Manifold Method

Félix Silva Costa, Leandro S. Tavares, J. Vanterler da C. Sousa
article en

Abstract

In this paper, we investigate the multiplicity of positive solutions for fractional singular equations via the Nehari manifold technique in the ψ-fractional space Hr(ξ)μ,γ;ψ(Λ) and the Harnack-type inequality. We established some essential technical lemmas for the discussion of the main result.

Numerical Functional Analysis and Optimization
Universidade Estadual do Maranhão (BR), Universidade Federal do ABC (BR)
Openalex Percentile: Top 7%
Nonlinear Partial Differential Equations
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