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arxiv: 2605.28638 · v1 · pith:HR2LFFJHnew · submitted 2026-05-27 · 🧮 math.AP

On a fractional p-Laplacian problem in the whole space and with singular reaction

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

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