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arxiv: 2510.23243 · v2 · pith:DATHRRD4new · submitted 2025-10-27 · 🧮 math.AP

Classification results for bounded positive solutions to the critical p-Laplace equation

Giulio Ciraolo , Michele Gatti This is my paper
classification 🧮 math.AP
keywords boundedcriticalequationlaplaceoptimalpositiveballbehaves
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By providing optimal or nearly optimal integral estimates, we show that every positive, bounded or moderately growing, local weak solution to the critical $p$-Laplace equation in $\mathbb{R}^n$, with $n\geq 3$, and whose infimum over a ball behaves properly must be a bubble.

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Cited by 2 Pith papers

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  1. A Pohozaev-type neck proof of a conditional Harnack inequality in the critical $p$-Laplacian setting

    math.AP 2026-06 unverdicted novelty 7.0

    Establishes a conditional Harnack inequality for the critical p-Laplace equation via Pohozaev-neck analysis that upgrades preliminary singular decay to the sharp p-harmonic rate, conditional on bubble classification a...

  2. On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results

    math.AP 2026-04 unverdicted novelty 6.0

    The paper establishes an anisotropic Struwe decomposition with bubble interaction estimates, a short classification proof, and quantitative stability for perturbations of the anisotropic critical p-Laplace equation.