On a Fractional p-Laplacian Problem in the Whole Space and with Singular Reaction

The existence of solutions that are positive, pointwise decaying at infinity, and weak to a fractional p-Laplacian problem in the whole space and exhibit a singular reaction is established. Truncation arguments, variational methods, as well as suitable a priori estimates are exploited.

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Publication Details

Journal
Mathematics
Published
2026-06-25
DOI
https://doi.org/10.3390/math14132267
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

On a Fractional p-Laplacian Problem in the Whole Space and with Singular Reaction

Laura Gambera, S. Marano
Mathematics
Nonlinear Differential Equations Analysis
article

On a Fractional p-Laplacian Problem in the Whole Space and with Singular Reaction

Laura Gambera, S. Marano
article en

Abstract

The existence of solutions that are positive, pointwise decaying at infinity, and weak to a fractional p-Laplacian problem in the whole space and exhibit a singular reaction is established. Truncation arguments, variational methods, as well as suitable a priori estimates are exploited.

MathematicsVol. 14(13)
University of Catania (IT)
Openalex Percentile: Top 4%
Nonlinear Differential Equations Analysis
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On a Fractional p-Laplacian Problem in the Whole Space and with Singular Reaction — Laura Gambera, S. Marano · Mathematics (2026) | TGRS Research Map | TGRS