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arXiv · 2510.23243

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

Giulio Ciraolo·Michele Gatti
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Abstract

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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Giulio Ciraolo, Michele Gatti. 2025-10-27. Classification results for bounded positive solutions to the critical $p$-Laplace equation. https://doi.org/10.1016/j.na.2026.114190

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